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Finding the Fourth Proportional to 551.92, 827.88 and 141.06

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Solution

The fourth proportional to 551.92, 827.88 and 141.06 is: 211.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.92 : 827.88 = 141.06 : x
  2. Step 2: Convert to fraction form
    551.92/827.88 = 141.06/x
  3. Step 3: Cross multiply
    551.92x = 827.88 × 141.06
  4. Step 4: Simplify right side
    551.92x = 116,779.49
  5. Step 5: Solve for x
    x = 116,779.49/551.92
  6. Step 6: Final answer
    x = 211.59

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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.