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Finding the Fourth Proportional to 242.26, 334.33 and 142.70

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Solution

The fourth proportional to 242.26, 334.33 and 142.70 is: 196.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.26 : 334.33 = 142.70 : x
  2. Step 2: Convert to fraction form
    242.26/334.33 = 142.70/x
  3. Step 3: Cross multiply
    242.26x = 334.33 × 142.70
  4. Step 4: Simplify right side
    242.26x = 47,708.18
  5. Step 5: Solve for x
    x = 47,708.18/242.26
  6. Step 6: Final answer
    x = 196.93

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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.