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Finding the Fourth Proportional to 290.37, 400.71 and 166.04

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Solution

The fourth proportional to 290.37, 400.71 and 166.04 is: 229.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.37 : 400.71 = 166.04 : x
  2. Step 2: Convert to fraction form
    290.37/400.71 = 166.04/x
  3. Step 3: Cross multiply
    290.37x = 400.71 × 166.04
  4. Step 4: Simplify right side
    290.37x = 66,531.88
  5. Step 5: Solve for x
    x = 66,531.88/290.37
  6. Step 6: Final answer
    x = 229.13

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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.