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Finding the Fourth Proportional to 340.79, 470.22 and 200.91

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Solution

The fourth proportional to 340.79, 470.22 and 200.91 is: 277.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.79 : 470.22 = 200.91 : x
  2. Step 2: Convert to fraction form
    340.79/470.22 = 200.91/x
  3. Step 3: Cross multiply
    340.79x = 470.22 × 200.91
  4. Step 4: Simplify right side
    340.79x = 94,471.90
  5. Step 5: Solve for x
    x = 94,471.90/340.79
  6. Step 6: Final answer
    x = 277.21

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