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Finding the Fourth Proportional to 170.94, 235.40 and 158.69

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Solution

The fourth proportional to 170.94, 235.40 and 158.69 is: 218.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.94 : 235.40 = 158.69 : x
  2. Step 2: Convert to fraction form
    170.94/235.40 = 158.69/x
  3. Step 3: Cross multiply
    170.94x = 235.40 × 158.69
  4. Step 4: Simplify right side
    170.94x = 37,353.66
  5. Step 5: Solve for x
    x = 37,353.66/170.94
  6. Step 6: Final answer
    x = 218.52

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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.