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Finding the Fourth Proportional to 217.53, 300.29 and 147.71

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Solution

The fourth proportional to 217.53, 300.29 and 147.71 is: 203.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.53 : 300.29 = 147.71 : x
  2. Step 2: Convert to fraction form
    217.53/300.29 = 147.71/x
  3. Step 3: Cross multiply
    217.53x = 300.29 × 147.71
  4. Step 4: Simplify right side
    217.53x = 44,355.85
  5. Step 5: Solve for x
    x = 44,355.85/217.53
  6. Step 6: Final answer
    x = 203.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.