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Finding the Fourth Proportional to 264.68, 366.03 and 231.87

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Solution

The fourth proportional to 264.68, 366.03 and 231.87 is: 320.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.68 : 366.03 = 231.87 : x
  2. Step 2: Convert to fraction form
    264.68/366.03 = 231.87/x
  3. Step 3: Cross multiply
    264.68x = 366.03 × 231.87
  4. Step 4: Simplify right side
    264.68x = 84,871.38
  5. Step 5: Solve for x
    x = 84,871.38/264.68
  6. Step 6: Final answer
    x = 320.66

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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.