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Finding the Fourth Proportional to 355.10, 532.22 and 252.22

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Solution

The fourth proportional to 355.10, 532.22 and 252.22 is: 378.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.10 : 532.22 = 252.22 : x
  2. Step 2: Convert to fraction form
    355.10/532.22 = 252.22/x
  3. Step 3: Cross multiply
    355.10x = 532.22 × 252.22
  4. Step 4: Simplify right side
    355.10x = 134,236.53
  5. Step 5: Solve for x
    x = 134,236.53/355.10
  6. Step 6: Final answer
    x = 378.02

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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.