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Finding the Fourth Proportional to 237.52, 356.14 and 114.09

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Solution

The fourth proportional to 237.52, 356.14 and 114.09 is: 171.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.52 : 356.14 = 114.09 : x
  2. Step 2: Convert to fraction form
    237.52/356.14 = 114.09/x
  3. Step 3: Cross multiply
    237.52x = 356.14 × 114.09
  4. Step 4: Simplify right side
    237.52x = 40,632.01
  5. Step 5: Solve for x
    x = 40,632.01/237.52
  6. Step 6: Final answer
    x = 171.07

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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.