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Finding the Fourth Proportional to 309.86, 464.60 and 127.16

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Solution

The fourth proportional to 309.86, 464.60 and 127.16 is: 190.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.86 : 464.60 = 127.16 : x
  2. Step 2: Convert to fraction form
    309.86/464.60 = 127.16/x
  3. Step 3: Cross multiply
    309.86x = 464.60 × 127.16
  4. Step 4: Simplify right side
    309.86x = 59,078.54
  5. Step 5: Solve for x
    x = 59,078.54/309.86
  6. Step 6: Final answer
    x = 190.66

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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.