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Finding the Fourth Proportional to 442.26, 663.40 and 117.62

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Solution

The fourth proportional to 442.26, 663.40 and 117.62 is: 176.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.26 : 663.40 = 117.62 : x
  2. Step 2: Convert to fraction form
    442.26/663.40 = 117.62/x
  3. Step 3: Cross multiply
    442.26x = 663.40 × 117.62
  4. Step 4: Simplify right side
    442.26x = 78,029.11
  5. Step 5: Solve for x
    x = 78,029.11/442.26
  6. Step 6: Final answer
    x = 176.43

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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.