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Finding the Fourth Proportional to 731.88, 1,097.81 and 184.05

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Solution

The fourth proportional to 731.88, 1,097.81 and 184.05 is: 276.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.88 : 1,097.81 = 184.05 : x
  2. Step 2: Convert to fraction form
    731.88/1,097.81 = 184.05/x
  3. Step 3: Cross multiply
    731.88x = 1,097.81 × 184.05
  4. Step 4: Simplify right side
    731.88x = 202,054.21
  5. Step 5: Solve for x
    x = 202,054.21/731.88
  6. Step 6: Final answer
    x = 276.07

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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.