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Finding the Fourth Proportional to 162.56, 243.48 and 116.96

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Solution

The fourth proportional to 162.56, 243.48 and 116.96 is: 175.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.56 : 243.48 = 116.96 : x
  2. Step 2: Convert to fraction form
    162.56/243.48 = 116.96/x
  3. Step 3: Cross multiply
    162.56x = 243.48 × 116.96
  4. Step 4: Simplify right side
    162.56x = 28,477.42
  5. Step 5: Solve for x
    x = 28,477.42/162.56
  6. Step 6: Final answer
    x = 175.18

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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.