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Finding the Fourth Proportional to 142.86, 213.93 and 122.70

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Solution

The fourth proportional to 142.86, 213.93 and 122.70 is: 183.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.86 : 213.93 = 122.70 : x
  2. Step 2: Convert to fraction form
    142.86/213.93 = 122.70/x
  3. Step 3: Cross multiply
    142.86x = 213.93 × 122.70
  4. Step 4: Simplify right side
    142.86x = 26,249.21
  5. Step 5: Solve for x
    x = 26,249.21/142.86
  6. Step 6: Final answer
    x = 183.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.