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Finding the Fourth Proportional to 167.94, 251.86 and 65.16

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Solution

The fourth proportional to 167.94, 251.86 and 65.16 is: 97.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.94 : 251.86 = 65.16 : x
  2. Step 2: Convert to fraction form
    167.94/251.86 = 65.16/x
  3. Step 3: Cross multiply
    167.94x = 251.86 × 65.16
  4. Step 4: Simplify right side
    167.94x = 16,410.10
  5. Step 5: Solve for x
    x = 16,410.10/167.94
  6. Step 6: Final answer
    x = 97.72

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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.