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Finding the Fourth Proportional to 252.65, 379.08 and 106.50

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Solution

The fourth proportional to 252.65, 379.08 and 106.50 is: 159.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.65 : 379.08 = 106.50 : x
  2. Step 2: Convert to fraction form
    252.65/379.08 = 106.50/x
  3. Step 3: Cross multiply
    252.65x = 379.08 × 106.50
  4. Step 4: Simplify right side
    252.65x = 40,372.02
  5. Step 5: Solve for x
    x = 40,372.02/252.65
  6. Step 6: Final answer
    x = 159.80

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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.