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Finding the Fourth Proportional to 353.04, 486.98 and 205.66

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Solution

The fourth proportional to 353.04, 486.98 and 205.66 is: 283.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.04 : 486.98 = 205.66 : x
  2. Step 2: Convert to fraction form
    353.04/486.98 = 205.66/x
  3. Step 3: Cross multiply
    353.04x = 486.98 × 205.66
  4. Step 4: Simplify right side
    353.04x = 100,152.31
  5. Step 5: Solve for x
    x = 100,152.31/353.04
  6. Step 6: Final answer
    x = 283.69

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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.