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Finding the Fourth Proportional to 242.13, 363.36 and 97.84

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Solution

The fourth proportional to 242.13, 363.36 and 97.84 is: 146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.13 : 363.36 = 97.84 : x
  2. Step 2: Convert to fraction form
    242.13/363.36 = 97.84/x
  3. Step 3: Cross multiply
    242.13x = 363.36 × 97.84
  4. Step 4: Simplify right side
    242.13x = 35,551.14
  5. Step 5: Solve for x
    x = 35,551.14/242.13
  6. Step 6: Final answer
    x = 146.83

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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.