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Finding the Fourth Proportional to 358.52, 537.86 and 115.22

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Solution

The fourth proportional to 358.52, 537.86 and 115.22 is: 172.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.52 : 537.86 = 115.22 : x
  2. Step 2: Convert to fraction form
    358.52/537.86 = 115.22/x
  3. Step 3: Cross multiply
    358.52x = 537.86 × 115.22
  4. Step 4: Simplify right side
    358.52x = 61,970.67
  5. Step 5: Solve for x
    x = 61,970.67/358.52
  6. Step 6: Final answer
    x = 172.85

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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.