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Finding the Fourth Proportional to 219.86, 330.38 and 117.22

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Solution

The fourth proportional to 219.86, 330.38 and 117.22 is: 176.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.86 : 330.38 = 117.22 : x
  2. Step 2: Convert to fraction form
    219.86/330.38 = 117.22/x
  3. Step 3: Cross multiply
    219.86x = 330.38 × 117.22
  4. Step 4: Simplify right side
    219.86x = 38,727.14
  5. Step 5: Solve for x
    x = 38,727.14/219.86
  6. Step 6: Final answer
    x = 176.14

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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.