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Finding the Fourth Proportional to 166.65, 230.00 and 120.17

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Solution

The fourth proportional to 166.65, 230.00 and 120.17 is: 165.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.65 : 230.00 = 120.17 : x
  2. Step 2: Convert to fraction form
    166.65/230.00 = 120.17/x
  3. Step 3: Cross multiply
    166.65x = 230.00 × 120.17
  4. Step 4: Simplify right side
    166.65x = 27,639.52
  5. Step 5: Solve for x
    x = 27,639.52/166.65
  6. Step 6: Final answer
    x = 165.86

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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.