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Finding the Fourth Proportional to 229.88, 345.12 and 195.86

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Solution

The fourth proportional to 229.88, 345.12 and 195.86 is: 294.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.88 : 345.12 = 195.86 : x
  2. Step 2: Convert to fraction form
    229.88/345.12 = 195.86/x
  3. Step 3: Cross multiply
    229.88x = 345.12 × 195.86
  4. Step 4: Simplify right side
    229.88x = 67,595.20
  5. Step 5: Solve for x
    x = 67,595.20/229.88
  6. Step 6: Final answer
    x = 294.05

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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.