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Finding the Fourth Proportional to 149.85, 206.62 and 129.10

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Solution

The fourth proportional to 149.85, 206.62 and 129.10 is: 178.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.85 : 206.62 = 129.10 : x
  2. Step 2: Convert to fraction form
    149.85/206.62 = 129.10/x
  3. Step 3: Cross multiply
    149.85x = 206.62 × 129.10
  4. Step 4: Simplify right side
    149.85x = 26,673.61
  5. Step 5: Solve for x
    x = 26,673.61/149.85
  6. Step 6: Final answer
    x = 178.00

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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.