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Finding the Fourth Proportional to 207.16, 310.93 and 109.73

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Solution

The fourth proportional to 207.16, 310.93 and 109.73 is: 164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.16 : 310.93 = 109.73 : x
  2. Step 2: Convert to fraction form
    207.16/310.93 = 109.73/x
  3. Step 3: Cross multiply
    207.16x = 310.93 × 109.73
  4. Step 4: Simplify right side
    207.16x = 34,119.37
  5. Step 5: Solve for x
    x = 34,119.37/207.16
  6. Step 6: Final answer
    x = 164.70

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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.