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Finding the Fourth Proportional to 219.18, 328.82 and 215.30

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Solution

The fourth proportional to 219.18, 328.82 and 215.30 is: 322.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.18 : 328.82 = 215.30 : x
  2. Step 2: Convert to fraction form
    219.18/328.82 = 215.30/x
  3. Step 3: Cross multiply
    219.18x = 328.82 × 215.30
  4. Step 4: Simplify right side
    219.18x = 70,792.23
  5. Step 5: Solve for x
    x = 70,792.23/219.18
  6. Step 6: Final answer
    x = 322.99

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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.