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Finding the Fourth Proportional to 768.36, 1,152.53 and 191.23

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Solution

The fourth proportional to 768.36, 1,152.53 and 191.23 is: 286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.36 : 1,152.53 = 191.23 : x
  2. Step 2: Convert to fraction form
    768.36/1,152.53 = 191.23/x
  3. Step 3: Cross multiply
    768.36x = 1,152.53 × 191.23
  4. Step 4: Simplify right side
    768.36x = 220,400.23
  5. Step 5: Solve for x
    x = 220,400.23/768.36
  6. Step 6: Final answer
    x = 286.85

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Why These Related Problems?

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