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Finding the Fourth Proportional to 219.12, 301.68 and 180.24

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Solution

The fourth proportional to 219.12, 301.68 and 180.24 is: 248.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.12 : 301.68 = 180.24 : x
  2. Step 2: Convert to fraction form
    219.12/301.68 = 180.24/x
  3. Step 3: Cross multiply
    219.12x = 301.68 × 180.24
  4. Step 4: Simplify right side
    219.12x = 54,374.80
  5. Step 5: Solve for x
    x = 54,374.80/219.12
  6. Step 6: Final answer
    x = 248.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.