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Finding the Fourth Proportional to 146.84, 218.82 and 142.67

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Solution

The fourth proportional to 146.84, 218.82 and 142.67 is: 212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.84 : 218.82 = 142.67 : x
  2. Step 2: Convert to fraction form
    146.84/218.82 = 142.67/x
  3. Step 3: Cross multiply
    146.84x = 218.82 × 142.67
  4. Step 4: Simplify right side
    146.84x = 31,217.96
  5. Step 5: Solve for x
    x = 31,217.96/146.84
  6. Step 6: Final answer
    x = 212.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.