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Finding the Fourth Proportional to 242.45, 363.69 and 98.09

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Solution

The fourth proportional to 242.45, 363.69 and 98.09 is: 147.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.45 : 363.69 = 98.09 : x
  2. Step 2: Convert to fraction form
    242.45/363.69 = 98.09/x
  3. Step 3: Cross multiply
    242.45x = 363.69 × 98.09
  4. Step 4: Simplify right side
    242.45x = 35,672.53
  5. Step 5: Solve for x
    x = 35,672.53/242.45
  6. Step 6: Final answer
    x = 147.14

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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.