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Finding the Fourth Proportional to 290.21, 400.50 and 165.90

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Solution

The fourth proportional to 290.21, 400.50 and 165.90 is: 228.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.21 : 400.50 = 165.90 : x
  2. Step 2: Convert to fraction form
    290.21/400.50 = 165.90/x
  3. Step 3: Cross multiply
    290.21x = 400.50 × 165.90
  4. Step 4: Simplify right side
    290.21x = 66,443.83
  5. Step 5: Solve for x
    x = 66,443.83/290.21
  6. Step 6: Final answer
    x = 228.95

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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.