Home / 166.24-227.77-160.10

Finding the Fourth Proportional to 166.24, 227.77 and 160.10

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Solution

The fourth proportional to 166.24, 227.77 and 160.10 is: 219.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.24 : 227.77 = 160.10 : x
  2. Step 2: Convert to fraction form
    166.24/227.77 = 160.10/x
  3. Step 3: Cross multiply
    166.24x = 227.77 × 160.10
  4. Step 4: Simplify right side
    166.24x = 36,465.98
  5. Step 5: Solve for x
    x = 36,465.98/166.24
  6. Step 6: Final answer
    x = 219.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.