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Finding the Fourth Proportional to 207.62, 310.76 and 109.98

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Solution

The fourth proportional to 207.62, 310.76 and 109.98 is: 164.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.62 : 310.76 = 109.98 : x
  2. Step 2: Convert to fraction form
    207.62/310.76 = 109.98/x
  3. Step 3: Cross multiply
    207.62x = 310.76 × 109.98
  4. Step 4: Simplify right side
    207.62x = 34,178.43
  5. Step 5: Solve for x
    x = 34,178.43/207.62
  6. Step 6: Final answer
    x = 164.62

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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.