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Finding the Fourth Proportional to 566.13, 849.33 and 181.38

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Solution

The fourth proportional to 566.13, 849.33 and 181.38 is: 272.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.13 : 849.33 = 181.38 : x
  2. Step 2: Convert to fraction form
    566.13/849.33 = 181.38/x
  3. Step 3: Cross multiply
    566.13x = 849.33 × 181.38
  4. Step 4: Simplify right side
    566.13x = 154,051.48
  5. Step 5: Solve for x
    x = 154,051.48/566.13
  6. Step 6: Final answer
    x = 272.11

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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.