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Finding the Fourth Proportional to 170.50, 235.29 and 118.78

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Solution

The fourth proportional to 170.50, 235.29 and 118.78 is: 163.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.50 : 235.29 = 118.78 : x
  2. Step 2: Convert to fraction form
    170.50/235.29 = 118.78/x
  3. Step 3: Cross multiply
    170.50x = 235.29 × 118.78
  4. Step 4: Simplify right side
    170.50x = 27,947.75
  5. Step 5: Solve for x
    x = 27,947.75/170.50
  6. Step 6: Final answer
    x = 163.92

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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.