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Finding the Fourth Proportional to 340.59, 470.02 and 185.34

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Solution

The fourth proportional to 340.59, 470.02 and 185.34 is: 255.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.59 : 470.02 = 185.34 : x
  2. Step 2: Convert to fraction form
    340.59/470.02 = 185.34/x
  3. Step 3: Cross multiply
    340.59x = 470.02 × 185.34
  4. Step 4: Simplify right side
    340.59x = 87,115.15
  5. Step 5: Solve for x
    x = 87,115.15/340.59
  6. Step 6: Final answer
    x = 255.77

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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.