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Finding the Fourth Proportional to 219.86, 303.47 and 132.56

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Solution

The fourth proportional to 219.86, 303.47 and 132.56 is: 182.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.86 : 303.47 = 132.56 : x
  2. Step 2: Convert to fraction form
    219.86/303.47 = 132.56/x
  3. Step 3: Cross multiply
    219.86x = 303.47 × 132.56
  4. Step 4: Simplify right side
    219.86x = 40,225.80
  5. Step 5: Solve for x
    x = 40,225.80/219.86
  6. Step 6: Final answer
    x = 182.97

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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.