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Finding the Fourth Proportional to 230.74, 345.67 and 179.13

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Solution

The fourth proportional to 230.74, 345.67 and 179.13 is: 268.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.74 : 345.67 = 179.13 : x
  2. Step 2: Convert to fraction form
    230.74/345.67 = 179.13/x
  3. Step 3: Cross multiply
    230.74x = 345.67 × 179.13
  4. Step 4: Simplify right side
    230.74x = 61,919.87
  5. Step 5: Solve for x
    x = 61,919.87/230.74
  6. Step 6: Final answer
    x = 268.35

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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.