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Finding the Fourth Proportional to 228.14, 316.27 and 215.82

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Solution

The fourth proportional to 228.14, 316.27 and 215.82 is: 299.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.14 : 316.27 = 215.82 : x
  2. Step 2: Convert to fraction form
    228.14/316.27 = 215.82/x
  3. Step 3: Cross multiply
    228.14x = 316.27 × 215.82
  4. Step 4: Simplify right side
    228.14x = 68,257.39
  5. Step 5: Solve for x
    x = 68,257.39/228.14
  6. Step 6: Final answer
    x = 299.19

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.