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Finding the Fourth Proportional to 185.76, 278.56 and 70.22

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Solution

The fourth proportional to 185.76, 278.56 and 70.22 is: 105.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.76 : 278.56 = 70.22 : x
  2. Step 2: Convert to fraction form
    185.76/278.56 = 70.22/x
  3. Step 3: Cross multiply
    185.76x = 278.56 × 70.22
  4. Step 4: Simplify right side
    185.76x = 19,559.31
  5. Step 5: Solve for x
    x = 19,559.31/185.76
  6. Step 6: Final answer
    x = 105.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.