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Finding the Fourth Proportional to 245.85, 339.14 and 167.17

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Solution

The fourth proportional to 245.85, 339.14 and 167.17 is: 230.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.85 : 339.14 = 167.17 : x
  2. Step 2: Convert to fraction form
    245.85/339.14 = 167.17/x
  3. Step 3: Cross multiply
    245.85x = 339.14 × 167.17
  4. Step 4: Simplify right side
    245.85x = 56,694.03
  5. Step 5: Solve for x
    x = 56,694.03/245.85
  6. Step 6: Final answer
    x = 230.60

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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.