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Finding the Fourth Proportional to 442.45, 663.71 and 117.82

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Solution

The fourth proportional to 442.45, 663.71 and 117.82 is: 176.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.45 : 663.71 = 117.82 : x
  2. Step 2: Convert to fraction form
    442.45/663.71 = 117.82/x
  3. Step 3: Cross multiply
    442.45x = 663.71 × 117.82
  4. Step 4: Simplify right side
    442.45x = 78,198.31
  5. Step 5: Solve for x
    x = 78,198.31/442.45
  6. Step 6: Final answer
    x = 176.74

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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.