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Finding the Fourth Proportional to 290.00, 400.14 and 171.92

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Solution

The fourth proportional to 290.00, 400.14 and 171.92 is: 237.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.00 : 400.14 = 171.92 : x
  2. Step 2: Convert to fraction form
    290.00/400.14 = 171.92/x
  3. Step 3: Cross multiply
    290.00x = 400.14 × 171.92
  4. Step 4: Simplify right side
    290.00x = 68,792.07
  5. Step 5: Solve for x
    x = 68,792.07/290.00
  6. Step 6: Final answer
    x = 237.22

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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.