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Finding the Fourth Proportional to 142.16, 212.06 and 119.48

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Solution

The fourth proportional to 142.16, 212.06 and 119.48 is: 178.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.16 : 212.06 = 119.48 : x
  2. Step 2: Convert to fraction form
    142.16/212.06 = 119.48/x
  3. Step 3: Cross multiply
    142.16x = 212.06 × 119.48
  4. Step 4: Simplify right side
    142.16x = 25,336.93
  5. Step 5: Solve for x
    x = 25,336.93/142.16
  6. Step 6: Final answer
    x = 178.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.