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Finding the Fourth Proportional to 215.52, 298.05 and 205.86

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Solution

The fourth proportional to 215.52, 298.05 and 205.86 is: 284.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.52 : 298.05 = 205.86 : x
  2. Step 2: Convert to fraction form
    215.52/298.05 = 205.86/x
  3. Step 3: Cross multiply
    215.52x = 298.05 × 205.86
  4. Step 4: Simplify right side
    215.52x = 61,356.57
  5. Step 5: Solve for x
    x = 61,356.57/215.52
  6. Step 6: Final answer
    x = 284.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.