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Finding the Fourth Proportional to 278.86, 384.77 and 173.91

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Solution

The fourth proportional to 278.86, 384.77 and 173.91 is: 239.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.86 : 384.77 = 173.91 : x
  2. Step 2: Convert to fraction form
    278.86/384.77 = 173.91/x
  3. Step 3: Cross multiply
    278.86x = 384.77 × 173.91
  4. Step 4: Simplify right side
    278.86x = 66,916.25
  5. Step 5: Solve for x
    x = 66,916.25/278.86
  6. Step 6: Final answer
    x = 239.96

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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.