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Finding the Fourth Proportional to 340.70, 470.12 and 200.79

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Solution

The fourth proportional to 340.70, 470.12 and 200.79 is: 277.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.70 : 470.12 = 200.79 : x
  2. Step 2: Convert to fraction form
    340.70/470.12 = 200.79/x
  3. Step 3: Cross multiply
    340.70x = 470.12 × 200.79
  4. Step 4: Simplify right side
    340.70x = 94,394.39
  5. Step 5: Solve for x
    x = 94,394.39/340.70
  6. Step 6: Final answer
    x = 277.06

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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.