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Finding the Fourth Proportional to 264.71, 397.13 and 82.10

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Solution

The fourth proportional to 264.71, 397.13 and 82.10 is: 123.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.71 : 397.13 = 82.10 : x
  2. Step 2: Convert to fraction form
    264.71/397.13 = 82.10/x
  3. Step 3: Cross multiply
    264.71x = 397.13 × 82.10
  4. Step 4: Simplify right side
    264.71x = 32,604.37
  5. Step 5: Solve for x
    x = 32,604.37/264.71
  6. Step 6: Final answer
    x = 123.17

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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.