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Finding the Fourth Proportional to 278.69, 384.68 and 185.40

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Solution

The fourth proportional to 278.69, 384.68 and 185.40 is: 255.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.69 : 384.68 = 185.40 : x
  2. Step 2: Convert to fraction form
    278.69/384.68 = 185.40/x
  3. Step 3: Cross multiply
    278.69x = 384.68 × 185.40
  4. Step 4: Simplify right side
    278.69x = 71,320.14
  5. Step 5: Solve for x
    x = 71,320.14/278.69
  6. Step 6: Final answer
    x = 255.92

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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.