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Finding the Fourth Proportional to 207.42, 311.22 and 184.65

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Solution

The fourth proportional to 207.42, 311.22 and 184.65 is: 277.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.42 : 311.22 = 184.65 : x
  2. Step 2: Convert to fraction form
    207.42/311.22 = 184.65/x
  3. Step 3: Cross multiply
    207.42x = 311.22 × 184.65
  4. Step 4: Simplify right side
    207.42x = 57,466.77
  5. Step 5: Solve for x
    x = 57,466.77/207.42
  6. Step 6: Final answer
    x = 277.06

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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.