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Finding the Fourth Proportional to 278.41, 417.59 and 105.07

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Solution

The fourth proportional to 278.41, 417.59 and 105.07 is: 157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.41 : 417.59 = 105.07 : x
  2. Step 2: Convert to fraction form
    278.41/417.59 = 105.07/x
  3. Step 3: Cross multiply
    278.41x = 417.59 × 105.07
  4. Step 4: Simplify right side
    278.41x = 43,876.18
  5. Step 5: Solve for x
    x = 43,876.18/278.41
  6. Step 6: Final answer
    x = 157.60

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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.