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Finding the Fourth Proportional to 207.52, 310.74 and 164.10

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Solution

The fourth proportional to 207.52, 310.74 and 164.10 is: 245.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.52 : 310.74 = 164.10 : x
  2. Step 2: Convert to fraction form
    207.52/310.74 = 164.10/x
  3. Step 3: Cross multiply
    207.52x = 310.74 × 164.10
  4. Step 4: Simplify right side
    207.52x = 50,992.43
  5. Step 5: Solve for x
    x = 50,992.43/207.52
  6. Step 6: Final answer
    x = 245.72

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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.