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Finding the Fourth Proportional to 146.81, 219.76 and 106.22

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Solution

The fourth proportional to 146.81, 219.76 and 106.22 is: 159.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.81 : 219.76 = 106.22 : x
  2. Step 2: Convert to fraction form
    146.81/219.76 = 106.22/x
  3. Step 3: Cross multiply
    146.81x = 219.76 × 106.22
  4. Step 4: Simplify right side
    146.81x = 23,341.54
  5. Step 5: Solve for x
    x = 23,341.54/146.81
  6. Step 6: Final answer
    x = 159.00

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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.