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Finding the Fourth Proportional to 264.96, 397.47 and 82.40

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Solution

The fourth proportional to 264.96, 397.47 and 82.40 is: 123.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.96 : 397.47 = 82.40 : x
  2. Step 2: Convert to fraction form
    264.96/397.47 = 82.40/x
  3. Step 3: Cross multiply
    264.96x = 397.47 × 82.40
  4. Step 4: Simplify right side
    264.96x = 32,751.53
  5. Step 5: Solve for x
    x = 32,751.53/264.96
  6. Step 6: Final answer
    x = 123.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.