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Finding the Fourth Proportional to 566.67, 849.82 and 181.83

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Solution

The fourth proportional to 566.67, 849.82 and 181.83 is: 272.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.67 : 849.82 = 181.83 : x
  2. Step 2: Convert to fraction form
    566.67/849.82 = 181.83/x
  3. Step 3: Cross multiply
    566.67x = 849.82 × 181.83
  4. Step 4: Simplify right side
    566.67x = 154,521.57
  5. Step 5: Solve for x
    x = 154,521.57/566.67
  6. Step 6: Final answer
    x = 272.68

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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.