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Finding the Fourth Proportional to 340.82, 470.31 and 200.93

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Solution

The fourth proportional to 340.82, 470.31 and 200.93 is: 277.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.82 : 470.31 = 200.93 : x
  2. Step 2: Convert to fraction form
    340.82/470.31 = 200.93/x
  3. Step 3: Cross multiply
    340.82x = 470.31 × 200.93
  4. Step 4: Simplify right side
    340.82x = 94,499.39
  5. Step 5: Solve for x
    x = 94,499.39/340.82
  6. Step 6: Final answer
    x = 277.27

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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.