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Finding the Fourth Proportional to 219.84, 301.18 and 211.64

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Solution

The fourth proportional to 219.84, 301.18 and 211.64 is: 289.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.84 : 301.18 = 211.64 : x
  2. Step 2: Convert to fraction form
    219.84/301.18 = 211.64/x
  3. Step 3: Cross multiply
    219.84x = 301.18 × 211.64
  4. Step 4: Simplify right side
    219.84x = 63,741.74
  5. Step 5: Solve for x
    x = 63,741.74/219.84
  6. Step 6: Final answer
    x = 289.95

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.