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Finding the Fourth Proportional to 207.49, 310.55 and 114.80

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Solution

The fourth proportional to 207.49, 310.55 and 114.80 is: 171.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.49 : 310.55 = 114.80 : x
  2. Step 2: Convert to fraction form
    207.49/310.55 = 114.80/x
  3. Step 3: Cross multiply
    207.49x = 310.55 × 114.80
  4. Step 4: Simplify right side
    207.49x = 35,651.14
  5. Step 5: Solve for x
    x = 35,651.14/207.49
  6. Step 6: Final answer
    x = 171.82

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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.