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Finding the Fourth Proportional to 252.60, 378.98 and 130.91

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Solution

The fourth proportional to 252.60, 378.98 and 130.91 is: 196.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.60 : 378.98 = 130.91 : x
  2. Step 2: Convert to fraction form
    252.60/378.98 = 130.91/x
  3. Step 3: Cross multiply
    252.60x = 378.98 × 130.91
  4. Step 4: Simplify right side
    252.60x = 49,609.72
  5. Step 5: Solve for x
    x = 49,609.72/252.60
  6. Step 6: Final answer
    x = 196.40

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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.