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Finding the Fourth Proportional to 551.12, 826.10 and 199.49

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Solution

The fourth proportional to 551.12, 826.10 and 199.49 is: 299.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.12 : 826.10 = 199.49 : x
  2. Step 2: Convert to fraction form
    551.12/826.10 = 199.49/x
  3. Step 3: Cross multiply
    551.12x = 826.10 × 199.49
  4. Step 4: Simplify right side
    551.12x = 164,798.19
  5. Step 5: Solve for x
    x = 164,798.19/551.12
  6. Step 6: Final answer
    x = 299.02

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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.