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Finding the Fourth Proportional to 229.86, 342.49 and 205.61

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Solution

The fourth proportional to 229.86, 342.49 and 205.61 is: 306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.86 : 342.49 = 205.61 : x
  2. Step 2: Convert to fraction form
    229.86/342.49 = 205.61/x
  3. Step 3: Cross multiply
    229.86x = 342.49 × 205.61
  4. Step 4: Simplify right side
    229.86x = 70,417.14
  5. Step 5: Solve for x
    x = 70,417.14/229.86
  6. Step 6: Final answer
    x = 306.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.