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Finding the Fourth Proportional to 340.61, 470.03 and 185.36

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Solution

The fourth proportional to 340.61, 470.03 and 185.36 is: 255.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.61 : 470.03 = 185.36 : x
  2. Step 2: Convert to fraction form
    340.61/470.03 = 185.36/x
  3. Step 3: Cross multiply
    340.61x = 470.03 × 185.36
  4. Step 4: Simplify right side
    340.61x = 87,121.48
  5. Step 5: Solve for x
    x = 87,121.48/340.61
  6. Step 6: Final answer
    x = 255.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.