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Finding the Fourth Proportional to 222.84, 334.32 and 131.58

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Solution

The fourth proportional to 222.84, 334.32 and 131.58 is: 197.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.84 : 334.32 = 131.58 : x
  2. Step 2: Convert to fraction form
    222.84/334.32 = 131.58/x
  3. Step 3: Cross multiply
    222.84x = 334.32 × 131.58
  4. Step 4: Simplify right side
    222.84x = 43,989.83
  5. Step 5: Solve for x
    x = 43,989.83/222.84
  6. Step 6: Final answer
    x = 197.41

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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.