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Finding the Fourth Proportional to 186.03, 278.78 and 104.70

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Solution

The fourth proportional to 186.03, 278.78 and 104.70 is: 156.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.03 : 278.78 = 104.70 : x
  2. Step 2: Convert to fraction form
    186.03/278.78 = 104.70/x
  3. Step 3: Cross multiply
    186.03x = 278.78 × 104.70
  4. Step 4: Simplify right side
    186.03x = 29,187.22
  5. Step 5: Solve for x
    x = 29,187.22/186.03
  6. Step 6: Final answer
    x = 156.90

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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.