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Finding the Fourth Proportional to 146.70, 218.51 and 146.04

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Solution

The fourth proportional to 146.70, 218.51 and 146.04 is: 217.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.70 : 218.51 = 146.04 : x
  2. Step 2: Convert to fraction form
    146.70/218.51 = 146.04/x
  3. Step 3: Cross multiply
    146.70x = 218.51 × 146.04
  4. Step 4: Simplify right side
    146.70x = 31,910.47
  5. Step 5: Solve for x
    x = 31,910.47/146.70
  6. Step 6: Final answer
    x = 217.52

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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.