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Finding the Fourth Proportional to 278.72, 418.18 and 256.24

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Solution

The fourth proportional to 278.72, 418.18 and 256.24 is: 384.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.72 : 418.18 = 256.24 : x
  2. Step 2: Convert to fraction form
    278.72/418.18 = 256.24/x
  3. Step 3: Cross multiply
    278.72x = 418.18 × 256.24
  4. Step 4: Simplify right side
    278.72x = 107,154.81
  5. Step 5: Solve for x
    x = 107,154.81/278.72
  6. Step 6: Final answer
    x = 384.45

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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.