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Finding the Fourth Proportional to 146.80, 219.74 and 78.23

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Solution

The fourth proportional to 146.80, 219.74 and 78.23 is: 117.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.80 : 219.74 = 78.23 : x
  2. Step 2: Convert to fraction form
    146.80/219.74 = 78.23/x
  3. Step 3: Cross multiply
    146.80x = 219.74 × 78.23
  4. Step 4: Simplify right side
    146.80x = 17,190.42
  5. Step 5: Solve for x
    x = 17,190.42/146.80
  6. Step 6: Final answer
    x = 117.10

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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.