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Finding the Fourth Proportional to 290.20, 434.70 and 180.24

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Solution

The fourth proportional to 290.20, 434.70 and 180.24 is: 269.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.20 : 434.70 = 180.24 : x
  2. Step 2: Convert to fraction form
    290.20/434.70 = 180.24/x
  3. Step 3: Cross multiply
    290.20x = 434.70 × 180.24
  4. Step 4: Simplify right side
    290.20x = 78,350.07
  5. Step 5: Solve for x
    x = 78,350.07/290.20
  6. Step 6: Final answer
    x = 269.99

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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.