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Finding the Fourth Proportional to 290.18, 400.45 and 165.84

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Solution

The fourth proportional to 290.18, 400.45 and 165.84 is: 228.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.18 : 400.45 = 165.84 : x
  2. Step 2: Convert to fraction form
    290.18/400.45 = 165.84/x
  3. Step 3: Cross multiply
    290.18x = 400.45 × 165.84
  4. Step 4: Simplify right side
    290.18x = 66,412.03
  5. Step 5: Solve for x
    x = 66,412.03/290.18
  6. Step 6: Final answer
    x = 228.86

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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.