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Finding the Fourth Proportional to 171.66, 236.29 and 130.11

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Solution

The fourth proportional to 171.66, 236.29 and 130.11 is: 179.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.66 : 236.29 = 130.11 : x
  2. Step 2: Convert to fraction form
    171.66/236.29 = 130.11/x
  3. Step 3: Cross multiply
    171.66x = 236.29 × 130.11
  4. Step 4: Simplify right side
    171.66x = 30,743.69
  5. Step 5: Solve for x
    x = 30,743.69/171.66
  6. Step 6: Final answer
    x = 179.10

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