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Finding the Fourth Proportional to 278.47, 384.16 and 178.91

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Solution

The fourth proportional to 278.47, 384.16 and 178.91 is: 246.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.47 : 384.16 = 178.91 : x
  2. Step 2: Convert to fraction form
    278.47/384.16 = 178.91/x
  3. Step 3: Cross multiply
    278.47x = 384.16 × 178.91
  4. Step 4: Simplify right side
    278.47x = 68,727.25
  5. Step 5: Solve for x
    x = 68,727.25/278.47
  6. Step 6: Final answer
    x = 246.81

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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.