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Finding the Fourth Proportional to 185.40, 276.91 and 159.81

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Solution

The fourth proportional to 185.40, 276.91 and 159.81 is: 238.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.40 : 276.91 = 159.81 : x
  2. Step 2: Convert to fraction form
    185.40/276.91 = 159.81/x
  3. Step 3: Cross multiply
    185.40x = 276.91 × 159.81
  4. Step 4: Simplify right side
    185.40x = 44,252.59
  5. Step 5: Solve for x
    x = 44,252.59/185.40
  6. Step 6: Final answer
    x = 238.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.