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Finding the Fourth Proportional to 223.52, 333.90 and 145.85

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Solution

The fourth proportional to 223.52, 333.90 and 145.85 is: 217.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.52 : 333.90 = 145.85 : x
  2. Step 2: Convert to fraction form
    223.52/333.90 = 145.85/x
  3. Step 3: Cross multiply
    223.52x = 333.90 × 145.85
  4. Step 4: Simplify right side
    223.52x = 48,697.65
  5. Step 5: Solve for x
    x = 48,697.65/223.52
  6. Step 6: Final answer
    x = 217.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.