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Finding the Fourth Proportional to 340.86, 470.37 and 185.61

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Solution

The fourth proportional to 340.86, 470.37 and 185.61 is: 256.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.86 : 470.37 = 185.61 : x
  2. Step 2: Convert to fraction form
    340.86/470.37 = 185.61/x
  3. Step 3: Cross multiply
    340.86x = 470.37 × 185.61
  4. Step 4: Simplify right side
    340.86x = 87,305.38
  5. Step 5: Solve for x
    x = 87,305.38/340.86
  6. Step 6: Final answer
    x = 256.13

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Why These Related Problems?

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