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Finding the Fourth Proportional to 310.66, 428.51 and 200.00

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Solution

The fourth proportional to 310.66, 428.51 and 200.00 is: 275.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.66 : 428.51 = 200.00 : x
  2. Step 2: Convert to fraction form
    310.66/428.51 = 200.00/x
  3. Step 3: Cross multiply
    310.66x = 428.51 × 200.00
  4. Step 4: Simplify right side
    310.66x = 85,703.57
  5. Step 5: Solve for x
    x = 85,703.57/310.66
  6. Step 6: Final answer
    x = 275.88

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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.