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Finding the Fourth Proportional to 290.82, 401.33 and 166.50

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Solution

The fourth proportional to 290.82, 401.33 and 166.50 is: 229.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.82 : 401.33 = 166.50 : x
  2. Step 2: Convert to fraction form
    290.82/401.33 = 166.50/x
  3. Step 3: Cross multiply
    290.82x = 401.33 × 166.50
  4. Step 4: Simplify right side
    290.82x = 66,820.61
  5. Step 5: Solve for x
    x = 66,820.61/290.82
  6. Step 6: Final answer
    x = 229.77

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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.