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Finding the Fourth Proportional to 162.22, 243.06 and 157.36

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Solution

The fourth proportional to 162.22, 243.06 and 157.36 is: 235.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.22 : 243.06 = 157.36 : x
  2. Step 2: Convert to fraction form
    162.22/243.06 = 157.36/x
  3. Step 3: Cross multiply
    162.22x = 243.06 × 157.36
  4. Step 4: Simplify right side
    162.22x = 38,247.92
  5. Step 5: Solve for x
    x = 38,247.92/162.22
  6. Step 6: Final answer
    x = 235.78

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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.