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Finding the Fourth Proportional to 207.56, 310.79 and 189.33

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Solution

The fourth proportional to 207.56, 310.79 and 189.33 is: 283.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.56 : 310.79 = 189.33 : x
  2. Step 2: Convert to fraction form
    207.56/310.79 = 189.33/x
  3. Step 3: Cross multiply
    207.56x = 310.79 × 189.33
  4. Step 4: Simplify right side
    207.56x = 58,841.40
  5. Step 5: Solve for x
    x = 58,841.40/207.56
  6. Step 6: Final answer
    x = 283.50

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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.