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Finding the Fourth Proportional to 278.48, 384.12 and 180.36

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Solution

The fourth proportional to 278.48, 384.12 and 180.36 is: 248.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.48 : 384.12 = 180.36 : x
  2. Step 2: Convert to fraction form
    278.48/384.12 = 180.36/x
  3. Step 3: Cross multiply
    278.48x = 384.12 × 180.36
  4. Step 4: Simplify right side
    278.48x = 69,279.88
  5. Step 5: Solve for x
    x = 69,279.88/278.48
  6. Step 6: Final answer
    x = 248.78

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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.