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Finding the Fourth Proportional to 278.32, 384.08 and 180.11

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Solution

The fourth proportional to 278.32, 384.08 and 180.11 is: 248.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.32 : 384.08 = 180.11 : x
  2. Step 2: Convert to fraction form
    278.32/384.08 = 180.11/x
  3. Step 3: Cross multiply
    278.32x = 384.08 × 180.11
  4. Step 4: Simplify right side
    278.32x = 69,176.65
  5. Step 5: Solve for x
    x = 69,176.65/278.32
  6. Step 6: Final answer
    x = 248.55

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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.