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Finding the Fourth Proportional to 307.12, 423.83 and 167.24

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Solution

The fourth proportional to 307.12, 423.83 and 167.24 is: 230.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.12 : 423.83 = 167.24 : x
  2. Step 2: Convert to fraction form
    307.12/423.83 = 167.24/x
  3. Step 3: Cross multiply
    307.12x = 423.83 × 167.24
  4. Step 4: Simplify right side
    307.12x = 70,879.48
  5. Step 5: Solve for x
    x = 70,879.48/307.12
  6. Step 6: Final answer
    x = 230.79

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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.