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Finding the Fourth Proportional to 278.61, 417.91 and 96.00

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Solution

The fourth proportional to 278.61, 417.91 and 96.00 is: 144.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.61 : 417.91 = 96.00 : x
  2. Step 2: Convert to fraction form
    278.61/417.91 = 96.00/x
  3. Step 3: Cross multiply
    278.61x = 417.91 × 96.00
  4. Step 4: Simplify right side
    278.61x = 40,120.49
  5. Step 5: Solve for x
    x = 40,120.49/278.61
  6. Step 6: Final answer
    x = 144.00

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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.