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Finding the Fourth Proportional to 162.62, 243.80 and 116.96

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Solution

The fourth proportional to 162.62, 243.80 and 116.96 is: 175.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.62 : 243.80 = 116.96 : x
  2. Step 2: Convert to fraction form
    162.62/243.80 = 116.96/x
  3. Step 3: Cross multiply
    162.62x = 243.80 × 116.96
  4. Step 4: Simplify right side
    162.62x = 28,514.85
  5. Step 5: Solve for x
    x = 28,514.85/162.62
  6. Step 6: Final answer
    x = 175.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.