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Finding the Fourth Proportional to 250.86, 346.14 and 144.51

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Solution

The fourth proportional to 250.86, 346.14 and 144.51 is: 199.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.86 : 346.14 = 144.51 : x
  2. Step 2: Convert to fraction form
    250.86/346.14 = 144.51/x
  3. Step 3: Cross multiply
    250.86x = 346.14 × 144.51
  4. Step 4: Simplify right side
    250.86x = 50,020.69
  5. Step 5: Solve for x
    x = 50,020.69/250.86
  6. Step 6: Final answer
    x = 199.40

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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.