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Finding the Fourth Proportional to 279.32, 386.22 and 228.44

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Solution

The fourth proportional to 279.32, 386.22 and 228.44 is: 315.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.32 : 386.22 = 228.44 : x
  2. Step 2: Convert to fraction form
    279.32/386.22 = 228.44/x
  3. Step 3: Cross multiply
    279.32x = 386.22 × 228.44
  4. Step 4: Simplify right side
    279.32x = 88,228.10
  5. Step 5: Solve for x
    x = 88,228.10/279.32
  6. Step 6: Final answer
    x = 315.87

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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.