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Finding the Fourth Proportional to 278.48, 383.84 and 228.80

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Solution

The fourth proportional to 278.48, 383.84 and 228.80 is: 315.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.48 : 383.84 = 228.80 : x
  2. Step 2: Convert to fraction form
    278.48/383.84 = 228.80/x
  3. Step 3: Cross multiply
    278.48x = 383.84 × 228.80
  4. Step 4: Simplify right side
    278.48x = 87,822.59
  5. Step 5: Solve for x
    x = 87,822.59/278.48
  6. Step 6: Final answer
    x = 315.36

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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.