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Finding the Fourth Proportional to 290.16, 400.46 and 165.84

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Solution

The fourth proportional to 290.16, 400.46 and 165.84 is: 228.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.16 : 400.46 = 165.84 : x
  2. Step 2: Convert to fraction form
    290.16/400.46 = 165.84/x
  3. Step 3: Cross multiply
    290.16x = 400.46 × 165.84
  4. Step 4: Simplify right side
    290.16x = 66,412.29
  5. Step 5: Solve for x
    x = 66,412.29/290.16
  6. Step 6: Final answer
    x = 228.88

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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.