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Finding the Fourth Proportional to 162.81, 243.78 and 130.09

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Solution

The fourth proportional to 162.81, 243.78 and 130.09 is: 194.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.81 : 243.78 = 130.09 : x
  2. Step 2: Convert to fraction form
    162.81/243.78 = 130.09/x
  3. Step 3: Cross multiply
    162.81x = 243.78 × 130.09
  4. Step 4: Simplify right side
    162.81x = 31,711.47
  5. Step 5: Solve for x
    x = 31,711.47/162.81
  6. Step 6: Final answer
    x = 194.78

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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.