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Finding the Fourth Proportional to 290.57, 401.04 and 172.61

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Solution

The fourth proportional to 290.57, 401.04 and 172.61 is: 238.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.57 : 401.04 = 172.61 : x
  2. Step 2: Convert to fraction form
    290.57/401.04 = 172.61/x
  3. Step 3: Cross multiply
    290.57x = 401.04 × 172.61
  4. Step 4: Simplify right side
    290.57x = 69,221.51
  5. Step 5: Solve for x
    x = 69,221.51/290.57
  6. Step 6: Final answer
    x = 238.23

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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.