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Finding the Fourth Proportional to 340.69, 470.10 and 200.83

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Solution

The fourth proportional to 340.69, 470.10 and 200.83 is: 277.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.69 : 470.10 = 200.83 : x
  2. Step 2: Convert to fraction form
    340.69/470.10 = 200.83/x
  3. Step 3: Cross multiply
    340.69x = 470.10 × 200.83
  4. Step 4: Simplify right side
    340.69x = 94,410.18
  5. Step 5: Solve for x
    x = 94,410.18/340.69
  6. Step 6: Final answer
    x = 277.11

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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.