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Finding the Fourth Proportional to 278.58, 417.80 and 105.24

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Solution

The fourth proportional to 278.58, 417.80 and 105.24 is: 157.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.58 : 417.80 = 105.24 : x
  2. Step 2: Convert to fraction form
    278.58/417.80 = 105.24/x
  3. Step 3: Cross multiply
    278.58x = 417.80 × 105.24
  4. Step 4: Simplify right side
    278.58x = 43,969.27
  5. Step 5: Solve for x
    x = 43,969.27/278.58
  6. Step 6: Final answer
    x = 157.83

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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.