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Finding the Fourth Proportional to 360.81, 497.90 and 205.56

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Solution

The fourth proportional to 360.81, 497.90 and 205.56 is: 283.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.81 : 497.90 = 205.56 : x
  2. Step 2: Convert to fraction form
    360.81/497.90 = 205.56/x
  3. Step 3: Cross multiply
    360.81x = 497.90 × 205.56
  4. Step 4: Simplify right side
    360.81x = 102,347.30
  5. Step 5: Solve for x
    x = 102,347.30/360.81
  6. Step 6: Final answer
    x = 283.66

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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.