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Finding the Fourth Proportional to 278.13, 416.19 and 262.51

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Solution

The fourth proportional to 278.13, 416.19 and 262.51 is: 392.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.13 : 416.19 = 262.51 : x
  2. Step 2: Convert to fraction form
    278.13/416.19 = 262.51/x
  3. Step 3: Cross multiply
    278.13x = 416.19 × 262.51
  4. Step 4: Simplify right side
    278.13x = 109,254.04
  5. Step 5: Solve for x
    x = 109,254.04/278.13
  6. Step 6: Final answer
    x = 392.82

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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.