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Finding the Fourth Proportional to 442.25, 663.36 and 117.63

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Solution

The fourth proportional to 442.25, 663.36 and 117.63 is: 176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.25 : 663.36 = 117.63 : x
  2. Step 2: Convert to fraction form
    442.25/663.36 = 117.63/x
  3. Step 3: Cross multiply
    442.25x = 663.36 × 117.63
  4. Step 4: Simplify right side
    442.25x = 78,031.04
  5. Step 5: Solve for x
    x = 78,031.04/442.25
  6. Step 6: Final answer
    x = 176.44

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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.