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Finding the Fourth Proportional to 264.84, 363.17 and 264.20

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Solution

The fourth proportional to 264.84, 363.17 and 264.20 is: 362.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.84 : 363.17 = 264.20 : x
  2. Step 2: Convert to fraction form
    264.84/363.17 = 264.20/x
  3. Step 3: Cross multiply
    264.84x = 363.17 × 264.20
  4. Step 4: Simplify right side
    264.84x = 95,949.51
  5. Step 5: Solve for x
    x = 95,949.51/264.84
  6. Step 6: Final answer
    x = 362.29

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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.