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Finding the Fourth Proportional to 290.22, 400.56 and 172.22

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Solution

The fourth proportional to 290.22, 400.56 and 172.22 is: 237.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.22 : 400.56 = 172.22 : x
  2. Step 2: Convert to fraction form
    290.22/400.56 = 172.22/x
  3. Step 3: Cross multiply
    290.22x = 400.56 × 172.22
  4. Step 4: Simplify right side
    290.22x = 68,984.44
  5. Step 5: Solve for x
    x = 68,984.44/290.22
  6. Step 6: Final answer
    x = 237.70

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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.