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Finding the Fourth Proportional to 146.98, 219.35 and 130.78

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Solution

The fourth proportional to 146.98, 219.35 and 130.78 is: 195.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.98 : 219.35 = 130.78 : x
  2. Step 2: Convert to fraction form
    146.98/219.35 = 130.78/x
  3. Step 3: Cross multiply
    146.98x = 219.35 × 130.78
  4. Step 4: Simplify right side
    146.98x = 28,686.59
  5. Step 5: Solve for x
    x = 28,686.59/146.98
  6. Step 6: Final answer
    x = 195.17

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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.