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Finding the Fourth Proportional to 146.46, 219.32 and 130.98

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Solution

The fourth proportional to 146.46, 219.32 and 130.98 is: 196.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.46 : 219.32 = 130.98 : x
  2. Step 2: Convert to fraction form
    146.46/219.32 = 130.98/x
  3. Step 3: Cross multiply
    146.46x = 219.32 × 130.98
  4. Step 4: Simplify right side
    146.46x = 28,726.53
  5. Step 5: Solve for x
    x = 28,726.53/146.46
  6. Step 6: Final answer
    x = 196.14

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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.