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Finding the Fourth Proportional to 251.61, 377.14 and 97.49

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Solution

The fourth proportional to 251.61, 377.14 and 97.49 is: 146.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.61 : 377.14 = 97.49 : x
  2. Step 2: Convert to fraction form
    251.61/377.14 = 97.49/x
  3. Step 3: Cross multiply
    251.61x = 377.14 × 97.49
  4. Step 4: Simplify right side
    251.61x = 36,766.44
  5. Step 5: Solve for x
    x = 36,766.44/251.61
  6. Step 6: Final answer
    x = 146.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.