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Finding the Fourth Proportional to 442.41, 663.63 and 117.78

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Solution

The fourth proportional to 442.41, 663.63 and 117.78 is: 176.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.41 : 663.63 = 117.78 : x
  2. Step 2: Convert to fraction form
    442.41/663.63 = 117.78/x
  3. Step 3: Cross multiply
    442.41x = 663.63 × 117.78
  4. Step 4: Simplify right side
    442.41x = 78,160.39
  5. Step 5: Solve for x
    x = 78,160.39/442.41
  6. Step 6: Final answer
    x = 176.67

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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.