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Finding the Fourth Proportional to 166.99, 230.32 and 120.51

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Solution

The fourth proportional to 166.99, 230.32 and 120.51 is: 166.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.99 : 230.32 = 120.51 : x
  2. Step 2: Convert to fraction form
    166.99/230.32 = 120.51/x
  3. Step 3: Cross multiply
    166.99x = 230.32 × 120.51
  4. Step 4: Simplify right side
    166.99x = 27,756.32
  5. Step 5: Solve for x
    x = 27,756.32/166.99
  6. Step 6: Final answer
    x = 166.22

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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.