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Finding the Fourth Proportional to 184.47, 275.27 and 164.01

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Solution

The fourth proportional to 184.47, 275.27 and 164.01 is: 244.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.47 : 275.27 = 164.01 : x
  2. Step 2: Convert to fraction form
    184.47/275.27 = 164.01/x
  3. Step 3: Cross multiply
    184.47x = 275.27 × 164.01
  4. Step 4: Simplify right side
    184.47x = 45,147.03
  5. Step 5: Solve for x
    x = 45,147.03/184.47
  6. Step 6: Final answer
    x = 244.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.