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Finding the Fourth Proportional to 278.81, 418.16 and 96.25

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Solution

The fourth proportional to 278.81, 418.16 and 96.25 is: 144.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.81 : 418.16 = 96.25 : x
  2. Step 2: Convert to fraction form
    278.81/418.16 = 96.25/x
  3. Step 3: Cross multiply
    278.81x = 418.16 × 96.25
  4. Step 4: Simplify right side
    278.81x = 40,247.42
  5. Step 5: Solve for x
    x = 40,247.42/278.81
  6. Step 6: Final answer
    x = 144.35

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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.