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Finding the Fourth Proportional to 278.07, 415.58 and 256.18

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Solution

The fourth proportional to 278.07, 415.58 and 256.18 is: 382.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.07 : 415.58 = 256.18 : x
  2. Step 2: Convert to fraction form
    278.07/415.58 = 256.18/x
  3. Step 3: Cross multiply
    278.07x = 415.58 × 256.18
  4. Step 4: Simplify right side
    278.07x = 106,460.96
  5. Step 5: Solve for x
    x = 106,460.96/278.07
  6. Step 6: Final answer
    x = 382.86

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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.