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Finding the Fourth Proportional to 355.22, 489.98 and 207.83

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Solution

The fourth proportional to 355.22, 489.98 and 207.83 is: 286.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.22 : 489.98 = 207.83 : x
  2. Step 2: Convert to fraction form
    355.22/489.98 = 207.83/x
  3. Step 3: Cross multiply
    355.22x = 489.98 × 207.83
  4. Step 4: Simplify right side
    355.22x = 101,834.29
  5. Step 5: Solve for x
    x = 101,834.29/355.22
  6. Step 6: Final answer
    x = 286.68

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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.