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Finding the Fourth Proportional to 278.52, 384.52 and 200.76

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Solution

The fourth proportional to 278.52, 384.52 and 200.76 is: 277.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.52 : 384.52 = 200.76 : x
  2. Step 2: Convert to fraction form
    278.52/384.52 = 200.76/x
  3. Step 3: Cross multiply
    278.52x = 384.52 × 200.76
  4. Step 4: Simplify right side
    278.52x = 77,196.24
  5. Step 5: Solve for x
    x = 77,196.24/278.52
  6. Step 6: Final answer
    x = 277.17

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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.