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Finding the Fourth Proportional to 314.71, 471.78 and 132.07

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Solution

The fourth proportional to 314.71, 471.78 and 132.07 is: 197.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.71 : 471.78 = 132.07 : x
  2. Step 2: Convert to fraction form
    314.71/471.78 = 132.07/x
  3. Step 3: Cross multiply
    314.71x = 471.78 × 132.07
  4. Step 4: Simplify right side
    314.71x = 62,307.98
  5. Step 5: Solve for x
    x = 62,307.98/314.71
  6. Step 6: Final answer
    x = 197.99

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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.