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Finding the Fourth Proportional to 240.88, 332.46 and 142.66

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Solution

The fourth proportional to 240.88, 332.46 and 142.66 is: 196.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.88 : 332.46 = 142.66 : x
  2. Step 2: Convert to fraction form
    240.88/332.46 = 142.66/x
  3. Step 3: Cross multiply
    240.88x = 332.46 × 142.66
  4. Step 4: Simplify right side
    240.88x = 47,428.74
  5. Step 5: Solve for x
    x = 47,428.74/240.88
  6. Step 6: Final answer
    x = 196.90

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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.