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Finding the Fourth Proportional to 174.17, 240.53 and 149.46

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Solution

The fourth proportional to 174.17, 240.53 and 149.46 is: 206.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.17 : 240.53 = 149.46 : x
  2. Step 2: Convert to fraction form
    174.17/240.53 = 149.46/x
  3. Step 3: Cross multiply
    174.17x = 240.53 × 149.46
  4. Step 4: Simplify right side
    174.17x = 35,948.87
  5. Step 5: Solve for x
    x = 35,948.87/174.17
  6. Step 6: Final answer
    x = 206.41

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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.