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Finding the Fourth Proportional to 435.26, 652.92 and 142.65

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Solution

The fourth proportional to 435.26, 652.92 and 142.65 is: 213.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.26 : 652.92 = 142.65 : x
  2. Step 2: Convert to fraction form
    435.26/652.92 = 142.65/x
  3. Step 3: Cross multiply
    435.26x = 652.92 × 142.65
  4. Step 4: Simplify right side
    435.26x = 93,139.04
  5. Step 5: Solve for x
    x = 93,139.04/435.26
  6. Step 6: Final answer
    x = 213.98

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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.