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Finding the Fourth Proportional to 354.22, 488.82 and 206.86

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Solution

The fourth proportional to 354.22, 488.82 and 206.86 is: 285.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.22 : 488.82 = 206.86 : x
  2. Step 2: Convert to fraction form
    354.22/488.82 = 206.86/x
  3. Step 3: Cross multiply
    354.22x = 488.82 × 206.86
  4. Step 4: Simplify right side
    354.22x = 101,117.31
  5. Step 5: Solve for x
    x = 101,117.31/354.22
  6. Step 6: Final answer
    x = 285.46

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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.