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Finding the Fourth Proportional to 290.32, 434.88 and 168.04

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Solution

The fourth proportional to 290.32, 434.88 and 168.04 is: 251.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.32 : 434.88 = 168.04 : x
  2. Step 2: Convert to fraction form
    290.32/434.88 = 168.04/x
  3. Step 3: Cross multiply
    290.32x = 434.88 × 168.04
  4. Step 4: Simplify right side
    290.32x = 73,077.24
  5. Step 5: Solve for x
    x = 73,077.24/290.32
  6. Step 6: Final answer
    x = 251.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.