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Finding the Fourth Proportional to 340.65, 470.01 and 200.82

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Solution

The fourth proportional to 340.65, 470.01 and 200.82 is: 277.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.65 : 470.01 = 200.82 : x
  2. Step 2: Convert to fraction form
    340.65/470.01 = 200.82/x
  3. Step 3: Cross multiply
    340.65x = 470.01 × 200.82
  4. Step 4: Simplify right side
    340.65x = 94,387.41
  5. Step 5: Solve for x
    x = 94,387.41/340.65
  6. Step 6: Final answer
    x = 277.08

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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.