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Finding the Fourth Proportional to 264.54, 362.85 and 231.72

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Solution

The fourth proportional to 264.54, 362.85 and 231.72 is: 317.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.54 : 362.85 = 231.72 : x
  2. Step 2: Convert to fraction form
    264.54/362.85 = 231.72/x
  3. Step 3: Cross multiply
    264.54x = 362.85 × 231.72
  4. Step 4: Simplify right side
    264.54x = 84,079.60
  5. Step 5: Solve for x
    x = 84,079.60/264.54
  6. Step 6: Final answer
    x = 317.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.