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Finding the Fourth Proportional to 162.44, 243.08 and 160

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Solution

The fourth proportional to 162.44, 243.08 and 160 is: 239.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.44 : 243.08 = 160 : x
  2. Step 2: Convert to fraction form
    162.44/243.08 = 160/x
  3. Step 3: Cross multiply
    162.44x = 243.08 × 160
  4. Step 4: Simplify right side
    162.44x = 38,892.80
  5. Step 5: Solve for x
    x = 38,892.80/162.44
  6. Step 6: Final answer
    x = 239.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.