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Finding the Fourth Proportional to 162.24, 243.60 and 159.60

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Solution

The fourth proportional to 162.24, 243.60 and 159.60 is: 239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.24 : 243.60 = 159.60 : x
  2. Step 2: Convert to fraction form
    162.24/243.60 = 159.60/x
  3. Step 3: Cross multiply
    162.24x = 243.60 × 159.60
  4. Step 4: Simplify right side
    162.24x = 38,878.56
  5. Step 5: Solve for x
    x = 38,878.56/162.24
  6. Step 6: Final answer
    x = 239.64

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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.