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Finding the Fourth Proportional to 358.23, 537.42 and 165.86

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Solution

The fourth proportional to 358.23, 537.42 and 165.86 is: 248.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.23 : 537.42 = 165.86 : x
  2. Step 2: Convert to fraction form
    358.23/537.42 = 165.86/x
  3. Step 3: Cross multiply
    358.23x = 537.42 × 165.86
  4. Step 4: Simplify right side
    358.23x = 89,136.48
  5. Step 5: Solve for x
    x = 89,136.48/358.23
  6. Step 6: Final answer
    x = 248.82

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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.