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Finding the Fourth Proportional to 290.58, 401.00 and 166.24

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Solution

The fourth proportional to 290.58, 401.00 and 166.24 is: 229.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.58 : 401.00 = 166.24 : x
  2. Step 2: Convert to fraction form
    290.58/401.00 = 166.24/x
  3. Step 3: Cross multiply
    290.58x = 401.00 × 166.24
  4. Step 4: Simplify right side
    290.58x = 66,662.85
  5. Step 5: Solve for x
    x = 66,662.85/290.58
  6. Step 6: Final answer
    x = 229.41

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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.