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Finding the Fourth Proportional to 171.19, 235.65 and 129.67

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Solution

The fourth proportional to 171.19, 235.65 and 129.67 is: 178.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.19 : 235.65 = 129.67 : x
  2. Step 2: Convert to fraction form
    171.19/235.65 = 129.67/x
  3. Step 3: Cross multiply
    171.19x = 235.65 × 129.67
  4. Step 4: Simplify right side
    171.19x = 30,556.74
  5. Step 5: Solve for x
    x = 30,556.74/171.19
  6. Step 6: Final answer
    x = 178.50

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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.