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Finding the Fourth Proportional to 242.27, 363.59 and 126.74

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Solution

The fourth proportional to 242.27, 363.59 and 126.74 is: 190.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.27 : 363.59 = 126.74 : x
  2. Step 2: Convert to fraction form
    242.27/363.59 = 126.74/x
  3. Step 3: Cross multiply
    242.27x = 363.59 × 126.74
  4. Step 4: Simplify right side
    242.27x = 46,080.76
  5. Step 5: Solve for x
    x = 46,080.76/242.27
  6. Step 6: Final answer
    x = 190.21

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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.