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Finding the Fourth Proportional to 278.93, 416.01 and 249.77

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Solution

The fourth proportional to 278.93, 416.01 and 249.77 is: 372.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.93 : 416.01 = 249.77 : x
  2. Step 2: Convert to fraction form
    278.93/416.01 = 249.77/x
  3. Step 3: Cross multiply
    278.93x = 416.01 × 249.77
  4. Step 4: Simplify right side
    278.93x = 103,904.74
  5. Step 5: Solve for x
    x = 103,904.74/278.93
  6. Step 6: Final answer
    x = 372.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.