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Finding the Fourth Proportional to 242.15, 363.15 and 97.83

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Solution

The fourth proportional to 242.15, 363.15 and 97.83 is: 146.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.15 : 363.15 = 97.83 : x
  2. Step 2: Convert to fraction form
    242.15/363.15 = 97.83/x
  3. Step 3: Cross multiply
    242.15x = 363.15 × 97.83
  4. Step 4: Simplify right side
    242.15x = 35,526.96
  5. Step 5: Solve for x
    x = 35,526.96/242.15
  6. Step 6: Final answer
    x = 146.72

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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.