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Finding the Fourth Proportional to 174.35, 240.77 and 149.31

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Solution

The fourth proportional to 174.35, 240.77 and 149.31 is: 206.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.35 : 240.77 = 149.31 : x
  2. Step 2: Convert to fraction form
    174.35/240.77 = 149.31/x
  3. Step 3: Cross multiply
    174.35x = 240.77 × 149.31
  4. Step 4: Simplify right side
    174.35x = 35,947.42
  5. Step 5: Solve for x
    x = 35,947.42/174.35
  6. Step 6: Final answer
    x = 206.19

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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.