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Finding the Fourth Proportional to 278.02, 416.78 and 123.86

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Solution

The fourth proportional to 278.02, 416.78 and 123.86 is: 185.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.02 : 416.78 = 123.86 : x
  2. Step 2: Convert to fraction form
    278.02/416.78 = 123.86/x
  3. Step 3: Cross multiply
    278.02x = 416.78 × 123.86
  4. Step 4: Simplify right side
    278.02x = 51,622.37
  5. Step 5: Solve for x
    x = 51,622.37/278.02
  6. Step 6: Final answer
    x = 185.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.