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Finding the Fourth Proportional to 148.40, 222.71 and 102.84

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Solution

The fourth proportional to 148.40, 222.71 and 102.84 is: 154.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.40 : 222.71 = 102.84 : x
  2. Step 2: Convert to fraction form
    148.40/222.71 = 102.84/x
  3. Step 3: Cross multiply
    148.40x = 222.71 × 102.84
  4. Step 4: Simplify right side
    148.40x = 22,902.15
  5. Step 5: Solve for x
    x = 22,902.15/148.40
  6. Step 6: Final answer
    x = 154.33

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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.