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Finding the Fourth Proportional to 159.30, 219.74 and 141.93

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Solution

The fourth proportional to 159.30, 219.74 and 141.93 is: 195.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.30 : 219.74 = 141.93 : x
  2. Step 2: Convert to fraction form
    159.30/219.74 = 141.93/x
  3. Step 3: Cross multiply
    159.30x = 219.74 × 141.93
  4. Step 4: Simplify right side
    159.30x = 31,186.99
  5. Step 5: Solve for x
    x = 31,186.99/159.30
  6. Step 6: Final answer
    x = 195.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.