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Finding the Fourth Proportional to 204.19, 305.91 and 106.58

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Solution

The fourth proportional to 204.19, 305.91 and 106.58 is: 159.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.19 : 305.91 = 106.58 : x
  2. Step 2: Convert to fraction form
    204.19/305.91 = 106.58/x
  3. Step 3: Cross multiply
    204.19x = 305.91 × 106.58
  4. Step 4: Simplify right side
    204.19x = 32,604.65
  5. Step 5: Solve for x
    x = 32,604.65/204.19
  6. Step 6: Final answer
    x = 159.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.