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Finding the Fourth Proportional to 207.75, 310.24 and 184.67

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Solution

The fourth proportional to 207.75, 310.24 and 184.67 is: 275.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.75 : 310.24 = 184.67 : x
  2. Step 2: Convert to fraction form
    207.75/310.24 = 184.67/x
  3. Step 3: Cross multiply
    207.75x = 310.24 × 184.67
  4. Step 4: Simplify right side
    207.75x = 57,292.02
  5. Step 5: Solve for x
    x = 57,292.02/207.75
  6. Step 6: Final answer
    x = 275.77

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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.