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Finding the Fourth Proportional to 290.55, 400.90 and 166.22

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Solution

The fourth proportional to 290.55, 400.90 and 166.22 is: 229.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.55 : 400.90 = 166.22 : x
  2. Step 2: Convert to fraction form
    290.55/400.90 = 166.22/x
  3. Step 3: Cross multiply
    290.55x = 400.90 × 166.22
  4. Step 4: Simplify right side
    290.55x = 66,637.60
  5. Step 5: Solve for x
    x = 66,637.60/290.55
  6. Step 6: Final answer
    x = 229.35

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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.