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Finding the Fourth Proportional to 252.19, 348.01 and 141.65

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Solution

The fourth proportional to 252.19, 348.01 and 141.65 is: 195.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.19 : 348.01 = 141.65 : x
  2. Step 2: Convert to fraction form
    252.19/348.01 = 141.65/x
  3. Step 3: Cross multiply
    252.19x = 348.01 × 141.65
  4. Step 4: Simplify right side
    252.19x = 49,295.62
  5. Step 5: Solve for x
    x = 49,295.62/252.19
  6. Step 6: Final answer
    x = 195.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.