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Finding the Fourth Proportional to 278.19, 382.86 and 257.45

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Solution

The fourth proportional to 278.19, 382.86 and 257.45 is: 354.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.19 : 382.86 = 257.45 : x
  2. Step 2: Convert to fraction form
    278.19/382.86 = 257.45/x
  3. Step 3: Cross multiply
    278.19x = 382.86 × 257.45
  4. Step 4: Simplify right side
    278.19x = 98,565.39
  5. Step 5: Solve for x
    x = 98,565.39/278.19
  6. Step 6: Final answer
    x = 354.31

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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.