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Finding the Fourth Proportional to 167.70, 233.02 and 167.70

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Solution

The fourth proportional to 167.70, 233.02 and 167.70 is: 233.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.70 : 233.02 = 167.70 : x
  2. Step 2: Convert to fraction form
    167.70/233.02 = 167.70/x
  3. Step 3: Cross multiply
    167.70x = 233.02 × 167.70
  4. Step 4: Simplify right side
    167.70x = 39,076.62
  5. Step 5: Solve for x
    x = 39,076.62/167.70
  6. Step 6: Final answer
    x = 233.02

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.