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Finding the Fourth Proportional to 170.25, 236.00 and 167.42

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Solution

The fourth proportional to 170.25, 236.00 and 167.42 is: 232.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.25 : 236.00 = 167.42 : x
  2. Step 2: Convert to fraction form
    170.25/236.00 = 167.42/x
  3. Step 3: Cross multiply
    170.25x = 236.00 × 167.42
  4. Step 4: Simplify right side
    170.25x = 39,509.10
  5. Step 5: Solve for x
    x = 39,509.10/170.25
  6. Step 6: Final answer
    x = 232.07

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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.