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Finding the Fourth Proportional to 340.86, 470.40 and 185.62

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Solution

The fourth proportional to 340.86, 470.40 and 185.62 is: 256.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.86 : 470.40 = 185.62 : x
  2. Step 2: Convert to fraction form
    340.86/470.40 = 185.62/x
  3. Step 3: Cross multiply
    340.86x = 470.40 × 185.62
  4. Step 4: Simplify right side
    340.86x = 87,315.65
  5. Step 5: Solve for x
    x = 87,315.65/340.86
  6. Step 6: Final answer
    x = 256.16

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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.