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Finding the Fourth Proportional to 207.39, 311.14 and 184.72

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Solution

The fourth proportional to 207.39, 311.14 and 184.72 is: 277.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.39 : 311.14 = 184.72 : x
  2. Step 2: Convert to fraction form
    207.39/311.14 = 184.72/x
  3. Step 3: Cross multiply
    207.39x = 311.14 × 184.72
  4. Step 4: Simplify right side
    207.39x = 57,473.78
  5. Step 5: Solve for x
    x = 57,473.78/207.39
  6. Step 6: Final answer
    x = 277.13

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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.