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Finding the Fourth Proportional to 290.11, 400.51 and 192.15

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Solution

The fourth proportional to 290.11, 400.51 and 192.15 is: 265.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.11 : 400.51 = 192.15 : x
  2. Step 2: Convert to fraction form
    290.11/400.51 = 192.15/x
  3. Step 3: Cross multiply
    290.11x = 400.51 × 192.15
  4. Step 4: Simplify right side
    290.11x = 76,958.00
  5. Step 5: Solve for x
    x = 76,958.00/290.11
  6. Step 6: Final answer
    x = 265.27

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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.