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Finding the Fourth Proportional to 185.68, 278.60 and 70.18

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Solution

The fourth proportional to 185.68, 278.60 and 70.18 is: 105.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.68 : 278.60 = 70.18 : x
  2. Step 2: Convert to fraction form
    185.68/278.60 = 70.18/x
  3. Step 3: Cross multiply
    185.68x = 278.60 × 70.18
  4. Step 4: Simplify right side
    185.68x = 19,552.15
  5. Step 5: Solve for x
    x = 19,552.15/185.68
  6. Step 6: Final answer
    x = 105.30

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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.