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Finding the Fourth Proportional to 162.68, 243.72 and 157.04

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Solution

The fourth proportional to 162.68, 243.72 and 157.04 is: 235.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.68 : 243.72 = 157.04 : x
  2. Step 2: Convert to fraction form
    162.68/243.72 = 157.04/x
  3. Step 3: Cross multiply
    162.68x = 243.72 × 157.04
  4. Step 4: Simplify right side
    162.68x = 38,273.79
  5. Step 5: Solve for x
    x = 38,273.79/162.68
  6. Step 6: Final answer
    x = 235.27

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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.