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Finding the Fourth Proportional to 252.50, 377.82 and 149.42

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Solution

The fourth proportional to 252.50, 377.82 and 149.42 is: 223.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.50 : 377.82 = 149.42 : x
  2. Step 2: Convert to fraction form
    252.50/377.82 = 149.42/x
  3. Step 3: Cross multiply
    252.50x = 377.82 × 149.42
  4. Step 4: Simplify right side
    252.50x = 56,453.86
  5. Step 5: Solve for x
    x = 56,453.86/252.50
  6. Step 6: Final answer
    x = 223.58

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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.