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Finding the Fourth Proportional to 210.33, 290.07 and 181.17

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Solution

The fourth proportional to 210.33, 290.07 and 181.17 is: 249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.33 : 290.07 = 181.17 : x
  2. Step 2: Convert to fraction form
    210.33/290.07 = 181.17/x
  3. Step 3: Cross multiply
    210.33x = 290.07 × 181.17
  4. Step 4: Simplify right side
    210.33x = 52,551.98
  5. Step 5: Solve for x
    x = 52,551.98/210.33
  6. Step 6: Final answer
    x = 249.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.