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Finding the Fourth Proportional to 278.40, 384.14 and 180.29

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Solution

The fourth proportional to 278.40, 384.14 and 180.29 is: 248.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.40 : 384.14 = 180.29 : x
  2. Step 2: Convert to fraction form
    278.40/384.14 = 180.29/x
  3. Step 3: Cross multiply
    278.40x = 384.14 × 180.29
  4. Step 4: Simplify right side
    278.40x = 69,258.01
  5. Step 5: Solve for x
    x = 69,258.01/278.40
  6. Step 6: Final answer
    x = 248.77

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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.