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Finding the Fourth Proportional to 731.92, 1,097.94 and 184.16

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Solution

The fourth proportional to 731.92, 1,097.94 and 184.16 is: 276.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.92 : 1,097.94 = 184.16 : x
  2. Step 2: Convert to fraction form
    731.92/1,097.94 = 184.16/x
  3. Step 3: Cross multiply
    731.92x = 1,097.94 × 184.16
  4. Step 4: Simplify right side
    731.92x = 202,196.63
  5. Step 5: Solve for x
    x = 202,196.63/731.92
  6. Step 6: Final answer
    x = 276.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.