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Finding the Fourth Proportional to 354.96, 532.23 and 149.35

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Solution

The fourth proportional to 354.96, 532.23 and 149.35 is: 223.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.96 : 532.23 = 149.35 : x
  2. Step 2: Convert to fraction form
    354.96/532.23 = 149.35/x
  3. Step 3: Cross multiply
    354.96x = 532.23 × 149.35
  4. Step 4: Simplify right side
    354.96x = 79,488.55
  5. Step 5: Solve for x
    x = 79,488.55/354.96
  6. Step 6: Final answer
    x = 223.94

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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.