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Finding the Fourth Proportional to 242.10, 334.17 and 159.27

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Solution

The fourth proportional to 242.10, 334.17 and 159.27 is: 219.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.10 : 334.17 = 159.27 : x
  2. Step 2: Convert to fraction form
    242.10/334.17 = 159.27/x
  3. Step 3: Cross multiply
    242.10x = 334.17 × 159.27
  4. Step 4: Simplify right side
    242.10x = 53,223.26
  5. Step 5: Solve for x
    x = 53,223.26/242.10
  6. Step 6: Final answer
    x = 219.84

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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.