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Finding the Fourth Proportional to 252.35, 378.53 and 130.65

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Solution

The fourth proportional to 252.35, 378.53 and 130.65 is: 195.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.35 : 378.53 = 130.65 : x
  2. Step 2: Convert to fraction form
    252.35/378.53 = 130.65/x
  3. Step 3: Cross multiply
    252.35x = 378.53 × 130.65
  4. Step 4: Simplify right side
    252.35x = 49,454.29
  5. Step 5: Solve for x
    x = 49,454.29/252.35
  6. Step 6: Final answer
    x = 195.98

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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.