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Finding the Fourth Proportional to 551.81, 827.72 and 140.95

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Solution

The fourth proportional to 551.81, 827.72 and 140.95 is: 211.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.81 : 827.72 = 140.95 : x
  2. Step 2: Convert to fraction form
    551.81/827.72 = 140.95/x
  3. Step 3: Cross multiply
    551.81x = 827.72 × 140.95
  4. Step 4: Simplify right side
    551.81x = 116,664.36
  5. Step 5: Solve for x
    x = 116,664.36/551.81
  6. Step 6: Final answer
    x = 211.42

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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.