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Finding the Fourth Proportional to 219.92, 302.54 and 190.35

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Solution

The fourth proportional to 219.92, 302.54 and 190.35 is: 261.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.92 : 302.54 = 190.35 : x
  2. Step 2: Convert to fraction form
    219.92/302.54 = 190.35/x
  3. Step 3: Cross multiply
    219.92x = 302.54 × 190.35
  4. Step 4: Simplify right side
    219.92x = 57,587.54
  5. Step 5: Solve for x
    x = 57,587.54/219.92
  6. Step 6: Final answer
    x = 261.86

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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.