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Finding the Fourth Proportional to 309.75, 464.71 and 127.23

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Solution

The fourth proportional to 309.75, 464.71 and 127.23 is: 190.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.75 : 464.71 = 127.23 : x
  2. Step 2: Convert to fraction form
    309.75/464.71 = 127.23/x
  3. Step 3: Cross multiply
    309.75x = 464.71 × 127.23
  4. Step 4: Simplify right side
    309.75x = 59,125.05
  5. Step 5: Solve for x
    x = 59,125.05/309.75
  6. Step 6: Final answer
    x = 190.88

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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.