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Finding the Fourth Proportional to 207.48, 310.09 and 191.06

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Solution

The fourth proportional to 207.48, 310.09 and 191.06 is: 285.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.48 : 310.09 = 191.06 : x
  2. Step 2: Convert to fraction form
    207.48/310.09 = 191.06/x
  3. Step 3: Cross multiply
    207.48x = 310.09 × 191.06
  4. Step 4: Simplify right side
    207.48x = 59,245.29
  5. Step 5: Solve for x
    x = 59,245.29/207.48
  6. Step 6: Final answer
    x = 285.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.