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Finding the Fourth Proportional to 371.52, 557.27 and 115.02

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Solution

The fourth proportional to 371.52, 557.27 and 115.02 is: 172.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.52 : 557.27 = 115.02 : x
  2. Step 2: Convert to fraction form
    371.52/557.27 = 115.02/x
  3. Step 3: Cross multiply
    371.52x = 557.27 × 115.02
  4. Step 4: Simplify right side
    371.52x = 64,097.20
  5. Step 5: Solve for x
    x = 64,097.20/371.52
  6. Step 6: Final answer
    x = 172.53

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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.