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Finding the Fourth Proportional to 242.71, 334.93 and 149.47

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Solution

The fourth proportional to 242.71, 334.93 and 149.47 is: 206.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.71 : 334.93 = 149.47 : x
  2. Step 2: Convert to fraction form
    242.71/334.93 = 149.47/x
  3. Step 3: Cross multiply
    242.71x = 334.93 × 149.47
  4. Step 4: Simplify right side
    242.71x = 50,063.43
  5. Step 5: Solve for x
    x = 50,063.43/242.71
  6. Step 6: Final answer
    x = 206.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.