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Finding the Fourth Proportional to 314.92, 471.97 and 132.06

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Solution

The fourth proportional to 314.92, 471.97 and 132.06 is: 197.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.92 : 471.97 = 132.06 : x
  2. Step 2: Convert to fraction form
    314.92/471.97 = 132.06/x
  3. Step 3: Cross multiply
    314.92x = 471.97 × 132.06
  4. Step 4: Simplify right side
    314.92x = 62,328.36
  5. Step 5: Solve for x
    x = 62,328.36/314.92
  6. Step 6: Final answer
    x = 197.92

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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.