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Finding the Fourth Proportional to 278.59, 417.91 and 105.35

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Solution

The fourth proportional to 278.59, 417.91 and 105.35 is: 158.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.59 : 417.91 = 105.35 : x
  2. Step 2: Convert to fraction form
    278.59/417.91 = 105.35/x
  3. Step 3: Cross multiply
    278.59x = 417.91 × 105.35
  4. Step 4: Simplify right side
    278.59x = 44,027.01
  5. Step 5: Solve for x
    x = 44,027.01/278.59
  6. Step 6: Final answer
    x = 158.04

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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.