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Finding the Fourth Proportional to 278.61, 417.78 and 105.15

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Solution

The fourth proportional to 278.61, 417.78 and 105.15 is: 157.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.61 : 417.78 = 105.15 : x
  2. Step 2: Convert to fraction form
    278.61/417.78 = 105.15/x
  3. Step 3: Cross multiply
    278.61x = 417.78 × 105.15
  4. Step 4: Simplify right side
    278.61x = 43,929.08
  5. Step 5: Solve for x
    x = 43,929.08/278.61
  6. Step 6: Final answer
    x = 157.67

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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.