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Finding the Fourth Proportional to 142.40, 195.41 and 130.16

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Solution

The fourth proportional to 142.40, 195.41 and 130.16 is: 178.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.40 : 195.41 = 130.16 : x
  2. Step 2: Convert to fraction form
    142.40/195.41 = 130.16/x
  3. Step 3: Cross multiply
    142.40x = 195.41 × 130.16
  4. Step 4: Simplify right side
    142.40x = 25,435.38
  5. Step 5: Solve for x
    x = 25,435.38/142.40
  6. Step 6: Final answer
    x = 178.62

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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.