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Finding the Fourth Proportional to 307.54, 424.42 and 167.67

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Solution

The fourth proportional to 307.54, 424.42 and 167.67 is: 231.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.54 : 424.42 = 167.67 : x
  2. Step 2: Convert to fraction form
    307.54/424.42 = 167.67/x
  3. Step 3: Cross multiply
    307.54x = 424.42 × 167.67
  4. Step 4: Simplify right side
    307.54x = 71,159.54
  5. Step 5: Solve for x
    x = 71,159.54/307.54
  6. Step 6: Final answer
    x = 231.38

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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.