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Finding the Fourth Proportional to 290.25, 400.59 and 172.26

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Solution

The fourth proportional to 290.25, 400.59 and 172.26 is: 237.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.25 : 400.59 = 172.26 : x
  2. Step 2: Convert to fraction form
    290.25/400.59 = 172.26/x
  3. Step 3: Cross multiply
    290.25x = 400.59 × 172.26
  4. Step 4: Simplify right side
    290.25x = 69,005.63
  5. Step 5: Solve for x
    x = 69,005.63/290.25
  6. Step 6: Final answer
    x = 237.75

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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.