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Finding the Fourth Proportional to 290.32, 400.64 and 165.98

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Solution

The fourth proportional to 290.32, 400.64 and 165.98 is: 229.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.32 : 400.64 = 165.98 : x
  2. Step 2: Convert to fraction form
    290.32/400.64 = 165.98/x
  3. Step 3: Cross multiply
    290.32x = 400.64 × 165.98
  4. Step 4: Simplify right side
    290.32x = 66,495.39
  5. Step 5: Solve for x
    x = 66,495.39/290.32
  6. Step 6: Final answer
    x = 229.04

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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.