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Finding the Fourth Proportional to 170.84, 235.13 and 164.12

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Solution

The fourth proportional to 170.84, 235.13 and 164.12 is: 225.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.84 : 235.13 = 164.12 : x
  2. Step 2: Convert to fraction form
    170.84/235.13 = 164.12/x
  3. Step 3: Cross multiply
    170.84x = 235.13 × 164.12
  4. Step 4: Simplify right side
    170.84x = 38,587.54
  5. Step 5: Solve for x
    x = 38,587.54/170.84
  6. Step 6: Final answer
    x = 225.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.