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Finding the Fourth Proportional to 278.20, 385.68 and 264.16

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Solution

The fourth proportional to 278.20, 385.68 and 264.16 is: 366.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.20 : 385.68 = 264.16 : x
  2. Step 2: Convert to fraction form
    278.20/385.68 = 264.16/x
  3. Step 3: Cross multiply
    278.20x = 385.68 × 264.16
  4. Step 4: Simplify right side
    278.20x = 101,881.23
  5. Step 5: Solve for x
    x = 101,881.23/278.20
  6. Step 6: Final answer
    x = 366.22

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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.