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Finding the Fourth Proportional to 340.41, 469.76 and 200.55

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Solution

The fourth proportional to 340.41, 469.76 and 200.55 is: 276.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.41 : 469.76 = 200.55 : x
  2. Step 2: Convert to fraction form
    340.41/469.76 = 200.55/x
  3. Step 3: Cross multiply
    340.41x = 469.76 × 200.55
  4. Step 4: Simplify right side
    340.41x = 94,209.37
  5. Step 5: Solve for x
    x = 94,209.37/340.41
  6. Step 6: Final answer
    x = 276.75

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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.