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Finding the Fourth Proportional to 242.60, 334.76 and 149.35

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Solution

The fourth proportional to 242.60, 334.76 and 149.35 is: 206.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.60 : 334.76 = 149.35 : x
  2. Step 2: Convert to fraction form
    242.60/334.76 = 149.35/x
  3. Step 3: Cross multiply
    242.60x = 334.76 × 149.35
  4. Step 4: Simplify right side
    242.60x = 49,996.41
  5. Step 5: Solve for x
    x = 49,996.41/242.60
  6. Step 6: Final answer
    x = 206.09

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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.