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Finding the Fourth Proportional to 242.97, 364.55 and 146.85

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Solution

The fourth proportional to 242.97, 364.55 and 146.85 is: 220.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.97 : 364.55 = 146.85 : x
  2. Step 2: Convert to fraction form
    242.97/364.55 = 146.85/x
  3. Step 3: Cross multiply
    242.97x = 364.55 × 146.85
  4. Step 4: Simplify right side
    242.97x = 53,534.17
  5. Step 5: Solve for x
    x = 53,534.17/242.97
  6. Step 6: Final answer
    x = 220.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.