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Finding the Fourth Proportional to 278.82, 385.38 and 277.20

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Solution

The fourth proportional to 278.82, 385.38 and 277.20 is: 383.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.82 : 385.38 = 277.20 : x
  2. Step 2: Convert to fraction form
    278.82/385.38 = 277.20/x
  3. Step 3: Cross multiply
    278.82x = 385.38 × 277.20
  4. Step 4: Simplify right side
    278.82x = 106,827.34
  5. Step 5: Solve for x
    x = 106,827.34/278.82
  6. Step 6: Final answer
    x = 383.14

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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.