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Finding the Fourth Proportional to 219.11, 302.96 and 215.64

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Solution

The fourth proportional to 219.11, 302.96 and 215.64 is: 298.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.11 : 302.96 = 215.64 : x
  2. Step 2: Convert to fraction form
    219.11/302.96 = 215.64/x
  3. Step 3: Cross multiply
    219.11x = 302.96 × 215.64
  4. Step 4: Simplify right side
    219.11x = 65,329.22
  5. Step 5: Solve for x
    x = 65,329.22/219.11
  6. Step 6: Final answer
    x = 298.16

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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.