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Finding the Fourth Proportional to 340.92, 470.46 and 193.57

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Solution

The fourth proportional to 340.92, 470.46 and 193.57 is: 267.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.92 : 470.46 = 193.57 : x
  2. Step 2: Convert to fraction form
    340.92/470.46 = 193.57/x
  3. Step 3: Cross multiply
    340.92x = 470.46 × 193.57
  4. Step 4: Simplify right side
    340.92x = 91,065.77
  5. Step 5: Solve for x
    x = 91,065.77/340.92
  6. Step 6: Final answer
    x = 267.12

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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.