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Finding the Fourth Proportional to 171.18, 235.89 and 119.34

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Solution

The fourth proportional to 171.18, 235.89 and 119.34 is: 164.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.18 : 235.89 = 119.34 : x
  2. Step 2: Convert to fraction form
    171.18/235.89 = 119.34/x
  3. Step 3: Cross multiply
    171.18x = 235.89 × 119.34
  4. Step 4: Simplify right side
    171.18x = 28,151.11
  5. Step 5: Solve for x
    x = 28,151.11/171.18
  6. Step 6: Final answer
    x = 164.45

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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.