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Finding the Fourth Proportional to 278.77, 418.16 and 96.16

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Solution

The fourth proportional to 278.77, 418.16 and 96.16 is: 144.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.77 : 418.16 = 96.16 : x
  2. Step 2: Convert to fraction form
    278.77/418.16 = 96.16/x
  3. Step 3: Cross multiply
    278.77x = 418.16 × 96.16
  4. Step 4: Simplify right side
    278.77x = 40,210.27
  5. Step 5: Solve for x
    x = 40,210.27/278.77
  6. Step 6: Final answer
    x = 144.24

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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.