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Finding the Fourth Proportional to 185.79, 278.70 and 164.52

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Solution

The fourth proportional to 185.79, 278.70 and 164.52 is: 246.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.79 : 278.70 = 164.52 : x
  2. Step 2: Convert to fraction form
    185.79/278.70 = 164.52/x
  3. Step 3: Cross multiply
    185.79x = 278.70 × 164.52
  4. Step 4: Simplify right side
    185.79x = 45,851.72
  5. Step 5: Solve for x
    x = 45,851.72/185.79
  6. Step 6: Final answer
    x = 246.79

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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.