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Finding the Fourth Proportional to 314.67, 472.14 and 160.53

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Solution

The fourth proportional to 314.67, 472.14 and 160.53 is: 240.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.67 : 472.14 = 160.53 : x
  2. Step 2: Convert to fraction form
    314.67/472.14 = 160.53/x
  3. Step 3: Cross multiply
    314.67x = 472.14 × 160.53
  4. Step 4: Simplify right side
    314.67x = 75,792.63
  5. Step 5: Solve for x
    x = 75,792.63/314.67
  6. Step 6: Final answer
    x = 240.86

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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.