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Finding the Fourth Proportional to 242.66, 363.82 and 98.26

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Solution

The fourth proportional to 242.66, 363.82 and 98.26 is: 147.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.66 : 363.82 = 98.26 : x
  2. Step 2: Convert to fraction form
    242.66/363.82 = 98.26/x
  3. Step 3: Cross multiply
    242.66x = 363.82 × 98.26
  4. Step 4: Simplify right side
    242.66x = 35,748.95
  5. Step 5: Solve for x
    x = 35,748.95/242.66
  6. Step 6: Final answer
    x = 147.32

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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.