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Finding the Fourth Proportional to 242.23, 363.22 and 97.95

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Solution

The fourth proportional to 242.23, 363.22 and 97.95 is: 146.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.23 : 363.22 = 97.95 : x
  2. Step 2: Convert to fraction form
    242.23/363.22 = 97.95/x
  3. Step 3: Cross multiply
    242.23x = 363.22 × 97.95
  4. Step 4: Simplify right side
    242.23x = 35,577.40
  5. Step 5: Solve for x
    x = 35,577.40/242.23
  6. Step 6: Final answer
    x = 146.87

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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.