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Finding the Fourth Proportional to 245.69, 338.93 and 142.13

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Solution

The fourth proportional to 245.69, 338.93 and 142.13 is: 196.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.69 : 338.93 = 142.13 : x
  2. Step 2: Convert to fraction form
    245.69/338.93 = 142.13/x
  3. Step 3: Cross multiply
    245.69x = 338.93 × 142.13
  4. Step 4: Simplify right side
    245.69x = 48,170.43
  5. Step 5: Solve for x
    x = 48,170.43/245.69
  6. Step 6: Final answer
    x = 196.07

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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.