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Finding the Fourth Proportional to 253.54, 350.13 and 191.80

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Solution

The fourth proportional to 253.54, 350.13 and 191.80 is: 264.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.54 : 350.13 = 191.80 : x
  2. Step 2: Convert to fraction form
    253.54/350.13 = 191.80/x
  3. Step 3: Cross multiply
    253.54x = 350.13 × 191.80
  4. Step 4: Simplify right side
    253.54x = 67,154.93
  5. Step 5: Solve for x
    x = 67,154.93/253.54
  6. Step 6: Final answer
    x = 264.87

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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.