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Finding the Fourth Proportional to 242.66, 334.82 and 149.41

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Solution

The fourth proportional to 242.66, 334.82 and 149.41 is: 206.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.66 : 334.82 = 149.41 : x
  2. Step 2: Convert to fraction form
    242.66/334.82 = 149.41/x
  3. Step 3: Cross multiply
    242.66x = 334.82 × 149.41
  4. Step 4: Simplify right side
    242.66x = 50,023.04
  5. Step 5: Solve for x
    x = 50,023.04/242.66
  6. Step 6: Final answer
    x = 206.14

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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.