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Finding the Fourth Proportional to 278.32, 384.34 and 180.25

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Solution

The fourth proportional to 278.32, 384.34 and 180.25 is: 248.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.32 : 384.34 = 180.25 : x
  2. Step 2: Convert to fraction form
    278.32/384.34 = 180.25/x
  3. Step 3: Cross multiply
    278.32x = 384.34 × 180.25
  4. Step 4: Simplify right side
    278.32x = 69,277.29
  5. Step 5: Solve for x
    x = 69,277.29/278.32
  6. Step 6: Final answer
    x = 248.91

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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.