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Finding the Fourth Proportional to 551.34, 826.74 and 185.94

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Solution

The fourth proportional to 551.34, 826.74 and 185.94 is: 278.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.34 : 826.74 = 185.94 : x
  2. Step 2: Convert to fraction form
    551.34/826.74 = 185.94/x
  3. Step 3: Cross multiply
    551.34x = 826.74 × 185.94
  4. Step 4: Simplify right side
    551.34x = 153,724.04
  5. Step 5: Solve for x
    x = 153,724.04/551.34
  6. Step 6: Final answer
    x = 278.82

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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.