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Finding the Fourth Proportional to 222.74, 334.41 and 145.89

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Solution

The fourth proportional to 222.74, 334.41 and 145.89 is: 219.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.74 : 334.41 = 145.89 : x
  2. Step 2: Convert to fraction form
    222.74/334.41 = 145.89/x
  3. Step 3: Cross multiply
    222.74x = 334.41 × 145.89
  4. Step 4: Simplify right side
    222.74x = 48,787.07
  5. Step 5: Solve for x
    x = 48,787.07/222.74
  6. Step 6: Final answer
    x = 219.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.