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Finding the Fourth Proportional to 442.05, 663.02 and 117.41

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Solution

The fourth proportional to 442.05, 663.02 and 117.41 is: 176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.05 : 663.02 = 117.41 : x
  2. Step 2: Convert to fraction form
    442.05/663.02 = 117.41/x
  3. Step 3: Cross multiply
    442.05x = 663.02 × 117.41
  4. Step 4: Simplify right side
    442.05x = 77,845.18
  5. Step 5: Solve for x
    x = 77,845.18/442.05
  6. Step 6: Final answer
    x = 176.10

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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.