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Finding the Fourth Proportional to 230.67, 345.71 and 128.00

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Solution

The fourth proportional to 230.67, 345.71 and 128.00 is: 191.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.67 : 345.71 = 128.00 : x
  2. Step 2: Convert to fraction form
    230.67/345.71 = 128.00/x
  3. Step 3: Cross multiply
    230.67x = 345.71 × 128.00
  4. Step 4: Simplify right side
    230.67x = 44,251.10
  5. Step 5: Solve for x
    x = 44,251.10/230.67
  6. Step 6: Final answer
    x = 191.84

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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.