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Finding the Fourth Proportional to 312.09, 468.11 and 127.08

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Solution

The fourth proportional to 312.09, 468.11 and 127.08 is: 190.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.09 : 468.11 = 127.08 : x
  2. Step 2: Convert to fraction form
    312.09/468.11 = 127.08/x
  3. Step 3: Cross multiply
    312.09x = 468.11 × 127.08
  4. Step 4: Simplify right side
    312.09x = 59,486.78
  5. Step 5: Solve for x
    x = 59,486.78/312.09
  6. Step 6: Final answer
    x = 190.61

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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.