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Finding the Fourth Proportional to 219.24, 302.55 and 120.99

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Solution

The fourth proportional to 219.24, 302.55 and 120.99 is: 166.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.24 : 302.55 = 120.99 : x
  2. Step 2: Convert to fraction form
    219.24/302.55 = 120.99/x
  3. Step 3: Cross multiply
    219.24x = 302.55 × 120.99
  4. Step 4: Simplify right side
    219.24x = 36,605.52
  5. Step 5: Solve for x
    x = 36,605.52/219.24
  6. Step 6: Final answer
    x = 166.97

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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.