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Finding the Fourth Proportional to 264.93, 397.40 and 82.33

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Solution

The fourth proportional to 264.93, 397.40 and 82.33 is: 123.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.93 : 397.40 = 82.33 : x
  2. Step 2: Convert to fraction form
    264.93/397.40 = 82.33/x
  3. Step 3: Cross multiply
    264.93x = 397.40 × 82.33
  4. Step 4: Simplify right side
    264.93x = 32,715.96
  5. Step 5: Solve for x
    x = 32,715.96/264.93
  6. Step 6: Final answer
    x = 123.49

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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.