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Finding the Fourth Proportional to 153.86, 212.14 and 142.92

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Solution

The fourth proportional to 153.86, 212.14 and 142.92 is: 197.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.86 : 212.14 = 142.92 : x
  2. Step 2: Convert to fraction form
    153.86/212.14 = 142.92/x
  3. Step 3: Cross multiply
    153.86x = 212.14 × 142.92
  4. Step 4: Simplify right side
    153.86x = 30,319.23
  5. Step 5: Solve for x
    x = 30,319.23/153.86
  6. Step 6: Final answer
    x = 197.06

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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.