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Finding the Fourth Proportional to 278.16, 417.42 and 256.12

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Solution

The fourth proportional to 278.16, 417.42 and 256.12 is: 384.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.16 : 417.42 = 256.12 : x
  2. Step 2: Convert to fraction form
    278.16/417.42 = 256.12/x
  3. Step 3: Cross multiply
    278.16x = 417.42 × 256.12
  4. Step 4: Simplify right side
    278.16x = 106,909.61
  5. Step 5: Solve for x
    x = 106,909.61/278.16
  6. Step 6: Final answer
    x = 384.35

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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.