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Finding the Fourth Proportional to 278.13, 383.50 and 228.17

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Solution

The fourth proportional to 278.13, 383.50 and 228.17 is: 314.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.13 : 383.50 = 228.17 : x
  2. Step 2: Convert to fraction form
    278.13/383.50 = 228.17/x
  3. Step 3: Cross multiply
    278.13x = 383.50 × 228.17
  4. Step 4: Simplify right side
    278.13x = 87,503.20
  5. Step 5: Solve for x
    x = 87,503.20/278.13
  6. Step 6: Final answer
    x = 314.61

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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.