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Finding the Fourth Proportional to 230.74, 345.92 and 165.69

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Solution

The fourth proportional to 230.74, 345.92 and 165.69 is: 248.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.74 : 345.92 = 165.69 : x
  2. Step 2: Convert to fraction form
    230.74/345.92 = 165.69/x
  3. Step 3: Cross multiply
    230.74x = 345.92 × 165.69
  4. Step 4: Simplify right side
    230.74x = 57,315.48
  5. Step 5: Solve for x
    x = 57,315.48/230.74
  6. Step 6: Final answer
    x = 248.40

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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.