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Finding the Fourth Proportional to 370.68, 511.49 and 204.88

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Solution

The fourth proportional to 370.68, 511.49 and 204.88 is: 282.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.68 : 511.49 = 204.88 : x
  2. Step 2: Convert to fraction form
    370.68/511.49 = 204.88/x
  3. Step 3: Cross multiply
    370.68x = 511.49 × 204.88
  4. Step 4: Simplify right side
    370.68x = 104,791.51
  5. Step 5: Solve for x
    x = 104,791.51/370.68
  6. Step 6: Final answer
    x = 282.70

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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.