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Finding the Fourth Proportional to 162.61, 243.88 and 122.31

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Solution

The fourth proportional to 162.61, 243.88 and 122.31 is: 183.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.61 : 243.88 = 122.31 : x
  2. Step 2: Convert to fraction form
    162.61/243.88 = 122.31/x
  3. Step 3: Cross multiply
    162.61x = 243.88 × 122.31
  4. Step 4: Simplify right side
    162.61x = 29,828.66
  5. Step 5: Solve for x
    x = 29,828.66/162.61
  6. Step 6: Final answer
    x = 183.44

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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.