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Finding the Fourth Proportional to 278.60, 417.85 and 96.00

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Solution

The fourth proportional to 278.60, 417.85 and 96.00 is: 143.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.60 : 417.85 = 96.00 : x
  2. Step 2: Convert to fraction form
    278.60/417.85 = 96.00/x
  3. Step 3: Cross multiply
    278.60x = 417.85 × 96.00
  4. Step 4: Simplify right side
    278.60x = 40,111.27
  5. Step 5: Solve for x
    x = 40,111.27/278.60
  6. Step 6: Final answer
    x = 143.98

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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.