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Finding the Fourth Proportional to 159.81, 219.73 and 142.16

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Solution

The fourth proportional to 159.81, 219.73 and 142.16 is: 195.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.81 : 219.73 = 142.16 : x
  2. Step 2: Convert to fraction form
    159.81/219.73 = 142.16/x
  3. Step 3: Cross multiply
    159.81x = 219.73 × 142.16
  4. Step 4: Simplify right side
    159.81x = 31,235.03
  5. Step 5: Solve for x
    x = 31,235.03/159.81
  6. Step 6: Final answer
    x = 195.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.