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Finding the Fourth Proportional to 162.78, 243.89 and 111.26

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Solution

The fourth proportional to 162.78, 243.89 and 111.26 is: 166.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.78 : 243.89 = 111.26 : x
  2. Step 2: Convert to fraction form
    162.78/243.89 = 111.26/x
  3. Step 3: Cross multiply
    162.78x = 243.89 × 111.26
  4. Step 4: Simplify right side
    162.78x = 27,135.20
  5. Step 5: Solve for x
    x = 27,135.20/162.78
  6. Step 6: Final answer
    x = 166.70

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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.