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Finding the Fourth Proportional to 245.94, 339.48 and 167.28

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Solution

The fourth proportional to 245.94, 339.48 and 167.28 is: 230.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.94 : 339.48 = 167.28 : x
  2. Step 2: Convert to fraction form
    245.94/339.48 = 167.28/x
  3. Step 3: Cross multiply
    245.94x = 339.48 × 167.28
  4. Step 4: Simplify right side
    245.94x = 56,788.21
  5. Step 5: Solve for x
    x = 56,788.21/245.94
  6. Step 6: Final answer
    x = 230.90

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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.