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Finding the Fourth Proportional to 442.46, 663.70 and 117.82

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Solution

The fourth proportional to 442.46, 663.70 and 117.82 is: 176.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.46 : 663.70 = 117.82 : x
  2. Step 2: Convert to fraction form
    442.46/663.70 = 117.82/x
  3. Step 3: Cross multiply
    442.46x = 663.70 × 117.82
  4. Step 4: Simplify right side
    442.46x = 78,193.82
  5. Step 5: Solve for x
    x = 78,193.82/442.46
  6. Step 6: Final answer
    x = 176.73

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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.