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Finding the Fourth Proportional to 185.22, 278.15 and 113.50

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Solution

The fourth proportional to 185.22, 278.15 and 113.50 is: 170.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.22 : 278.15 = 113.50 : x
  2. Step 2: Convert to fraction form
    185.22/278.15 = 113.50/x
  3. Step 3: Cross multiply
    185.22x = 278.15 × 113.50
  4. Step 4: Simplify right side
    185.22x = 31,570.03
  5. Step 5: Solve for x
    x = 31,570.03/185.22
  6. Step 6: Final answer
    x = 170.45

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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.