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Finding the Fourth Proportional to 221.76, 332.84 and 153.72

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Solution

The fourth proportional to 221.76, 332.84 and 153.72 is: 230.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.76 : 332.84 = 153.72 : x
  2. Step 2: Convert to fraction form
    221.76/332.84 = 153.72/x
  3. Step 3: Cross multiply
    221.76x = 332.84 × 153.72
  4. Step 4: Simplify right side
    221.76x = 51,164.16
  5. Step 5: Solve for x
    x = 51,164.16/221.76
  6. Step 6: Final answer
    x = 230.72

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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.