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Finding the Fourth Proportional to 215.15, 296.59 and 165.95

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Solution

The fourth proportional to 215.15, 296.59 and 165.95 is: 228.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.15 : 296.59 = 165.95 : x
  2. Step 2: Convert to fraction form
    215.15/296.59 = 165.95/x
  3. Step 3: Cross multiply
    215.15x = 296.59 × 165.95
  4. Step 4: Simplify right side
    215.15x = 49,217.63
  5. Step 5: Solve for x
    x = 49,217.63/215.15
  6. Step 6: Final answer
    x = 228.76

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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.