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Finding the Fourth Proportional to 278.93, 384.90 and 180.74

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Solution

The fourth proportional to 278.93, 384.90 and 180.74 is: 249.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.93 : 384.90 = 180.74 : x
  2. Step 2: Convert to fraction form
    278.93/384.90 = 180.74/x
  3. Step 3: Cross multiply
    278.93x = 384.90 × 180.74
  4. Step 4: Simplify right side
    278.93x = 69,564.90
  5. Step 5: Solve for x
    x = 69,564.90/278.93
  6. Step 6: Final answer
    x = 249.40

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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.