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Finding the Fourth Proportional to 230.65, 345.70 and 93.66

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Solution

The fourth proportional to 230.65, 345.70 and 93.66 is: 140.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.65 : 345.70 = 93.66 : x
  2. Step 2: Convert to fraction form
    230.65/345.70 = 93.66/x
  3. Step 3: Cross multiply
    230.65x = 345.70 × 93.66
  4. Step 4: Simplify right side
    230.65x = 32,379.03
  5. Step 5: Solve for x
    x = 32,379.03/230.65
  6. Step 6: Final answer
    x = 140.38

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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.