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Finding the Fourth Proportional to 618.06, 926.97 and 207.14

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Solution

The fourth proportional to 618.06, 926.97 and 207.14 is: 310.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.06 : 926.97 = 207.14 : x
  2. Step 2: Convert to fraction form
    618.06/926.97 = 207.14/x
  3. Step 3: Cross multiply
    618.06x = 926.97 × 207.14
  4. Step 4: Simplify right side
    618.06x = 192,007.93
  5. Step 5: Solve for x
    x = 192,007.93/618.06
  6. Step 6: Final answer
    x = 310.66

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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.