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Finding the Fourth Proportional to 442.58, 663.83 and 117.98

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Solution

The fourth proportional to 442.58, 663.83 and 117.98 is: 176.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.58 : 663.83 = 117.98 : x
  2. Step 2: Convert to fraction form
    442.58/663.83 = 117.98/x
  3. Step 3: Cross multiply
    442.58x = 663.83 × 117.98
  4. Step 4: Simplify right side
    442.58x = 78,318.07
  5. Step 5: Solve for x
    x = 78,318.07/442.58
  6. Step 6: Final answer
    x = 176.96

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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.