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Finding the Fourth Proportional to 146.34, 218.70 and 134.46

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Solution

The fourth proportional to 146.34, 218.70 and 134.46 is: 200.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.34 : 218.70 = 134.46 : x
  2. Step 2: Convert to fraction form
    146.34/218.70 = 134.46/x
  3. Step 3: Cross multiply
    146.34x = 218.70 × 134.46
  4. Step 4: Simplify right side
    146.34x = 29,406.40
  5. Step 5: Solve for x
    x = 29,406.40/146.34
  6. Step 6: Final answer
    x = 200.95

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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.