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Finding the Fourth Proportional to 355.24, 532.56 and 135.80

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Solution

The fourth proportional to 355.24, 532.56 and 135.80 is: 203.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.24 : 532.56 = 135.80 : x
  2. Step 2: Convert to fraction form
    355.24/532.56 = 135.80/x
  3. Step 3: Cross multiply
    355.24x = 532.56 × 135.80
  4. Step 4: Simplify right side
    355.24x = 72,321.65
  5. Step 5: Solve for x
    x = 72,321.65/355.24
  6. Step 6: Final answer
    x = 203.59

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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.