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Finding the Fourth Proportional to 162.41, 243 and 116.24

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Solution

The fourth proportional to 162.41, 243 and 116.24 is: 173.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.41 : 243 = 116.24 : x
  2. Step 2: Convert to fraction form
    162.41/243 = 116.24/x
  3. Step 3: Cross multiply
    162.41x = 243 × 116.24
  4. Step 4: Simplify right side
    162.41x = 28,245.11
  5. Step 5: Solve for x
    x = 28,245.11/162.41
  6. Step 6: Final answer
    x = 173.92

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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.