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Finding the Fourth Proportional to 230, 345.16 and 85.73

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Solution

The fourth proportional to 230, 345.16 and 85.73 is: 128.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    230 : 345.16 = 85.73 : x
  2. Step 2: Convert to fraction form
    230/345.16 = 85.73/x
  3. Step 3: Cross multiply
    230x = 345.16 × 85.73
  4. Step 4: Simplify right side
    230x = 29,588.41
  5. Step 5: Solve for x
    x = 29,588.41/230
  6. Step 6: Final answer
    x = 128.65

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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.