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Finding the Fourth Proportional to 252.18, 377.85 and 165.41

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Solution

The fourth proportional to 252.18, 377.85 and 165.41 is: 247.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.18 : 377.85 = 165.41 : x
  2. Step 2: Convert to fraction form
    252.18/377.85 = 165.41/x
  3. Step 3: Cross multiply
    252.18x = 377.85 × 165.41
  4. Step 4: Simplify right side
    252.18x = 62,498.28
  5. Step 5: Solve for x
    x = 62,498.28/252.18
  6. Step 6: Final answer
    x = 247.83

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