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Finding the Fourth Proportional to 290.00, 400.19 and 165.65

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Solution

The fourth proportional to 290.00, 400.19 and 165.65 is: 228.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.00 : 400.19 = 165.65 : x
  2. Step 2: Convert to fraction form
    290.00/400.19 = 165.65/x
  3. Step 3: Cross multiply
    290.00x = 400.19 × 165.65
  4. Step 4: Simplify right side
    290.00x = 66,291.65
  5. Step 5: Solve for x
    x = 66,291.65/290.00
  6. Step 6: Final answer
    x = 228.60

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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.