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Finding the Fourth Proportional to 290.25, 400.56 and 165.91

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Solution

The fourth proportional to 290.25, 400.56 and 165.91 is: 228.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.25 : 400.56 = 165.91 : x
  2. Step 2: Convert to fraction form
    290.25/400.56 = 165.91/x
  3. Step 3: Cross multiply
    290.25x = 400.56 × 165.91
  4. Step 4: Simplify right side
    290.25x = 66,456.91
  5. Step 5: Solve for x
    x = 66,456.91/290.25
  6. Step 6: Final answer
    x = 228.96

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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.