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Finding the Fourth Proportional to 219.76, 303.42 and 204.24

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Solution

The fourth proportional to 219.76, 303.42 and 204.24 is: 281.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.76 : 303.42 = 204.24 : x
  2. Step 2: Convert to fraction form
    219.76/303.42 = 204.24/x
  3. Step 3: Cross multiply
    219.76x = 303.42 × 204.24
  4. Step 4: Simplify right side
    219.76x = 61,970.50
  5. Step 5: Solve for x
    x = 61,970.50/219.76
  6. Step 6: Final answer
    x = 281.99

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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.