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Finding the Fourth Proportional to 290.50, 400.94 and 166.17

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Solution

The fourth proportional to 290.50, 400.94 and 166.17 is: 229.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.50 : 400.94 = 166.17 : x
  2. Step 2: Convert to fraction form
    290.50/400.94 = 166.17/x
  3. Step 3: Cross multiply
    290.50x = 400.94 × 166.17
  4. Step 4: Simplify right side
    290.50x = 66,624.20
  5. Step 5: Solve for x
    x = 66,624.20/290.50
  6. Step 6: Final answer
    x = 229.34

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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.