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Finding the Fourth Proportional to 207.05, 310.25 and 120.17

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Solution

The fourth proportional to 207.05, 310.25 and 120.17 is: 180.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.05 : 310.25 = 120.17 : x
  2. Step 2: Convert to fraction form
    207.05/310.25 = 120.17/x
  3. Step 3: Cross multiply
    207.05x = 310.25 × 120.17
  4. Step 4: Simplify right side
    207.05x = 37,280.59
  5. Step 5: Solve for x
    x = 37,280.59/207.05
  6. Step 6: Final answer
    x = 180.06

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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.