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Finding the Fourth Proportional to 566.38, 849.56 and 181.63

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Solution

The fourth proportional to 566.38, 849.56 and 181.63 is: 272.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.38 : 849.56 = 181.63 : x
  2. Step 2: Convert to fraction form
    566.38/849.56 = 181.63/x
  3. Step 3: Cross multiply
    566.38x = 849.56 × 181.63
  4. Step 4: Simplify right side
    566.38x = 154,305.58
  5. Step 5: Solve for x
    x = 154,305.58/566.38
  6. Step 6: Final answer
    x = 272.44

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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.