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Finding the Fourth Proportional to 283.53, 391.17 and 159.17

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Solution

The fourth proportional to 283.53, 391.17 and 159.17 is: 219.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.53 : 391.17 = 159.17 : x
  2. Step 2: Convert to fraction form
    283.53/391.17 = 159.17/x
  3. Step 3: Cross multiply
    283.53x = 391.17 × 159.17
  4. Step 4: Simplify right side
    283.53x = 62,264.10
  5. Step 5: Solve for x
    x = 62,264.10/283.53
  6. Step 6: Final answer
    x = 219.60

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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.