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Finding the Fourth Proportional to 245.92, 366.77 and 232.96

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Solution

The fourth proportional to 245.92, 366.77 and 232.96 is: 347.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.92 : 366.77 = 232.96 : x
  2. Step 2: Convert to fraction form
    245.92/366.77 = 232.96/x
  3. Step 3: Cross multiply
    245.92x = 366.77 × 232.96
  4. Step 4: Simplify right side
    245.92x = 85,442.74
  5. Step 5: Solve for x
    x = 85,442.74/245.92
  6. Step 6: Final answer
    x = 347.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.