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Finding the Fourth Proportional to 221.76, 332.66 and 91.81

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Solution

The fourth proportional to 221.76, 332.66 and 91.81 is: 137.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.76 : 332.66 = 91.81 : x
  2. Step 2: Convert to fraction form
    221.76/332.66 = 91.81/x
  3. Step 3: Cross multiply
    221.76x = 332.66 × 91.81
  4. Step 4: Simplify right side
    221.76x = 30,541.51
  5. Step 5: Solve for x
    x = 30,541.51/221.76
  6. Step 6: Final answer
    x = 137.72

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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.