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Finding the Fourth Proportional to 265.32, 397.17 and 204.17

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Solution

The fourth proportional to 265.32, 397.17 and 204.17 is: 305.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.32 : 397.17 = 204.17 : x
  2. Step 2: Convert to fraction form
    265.32/397.17 = 204.17/x
  3. Step 3: Cross multiply
    265.32x = 397.17 × 204.17
  4. Step 4: Simplify right side
    265.32x = 81,088.21
  5. Step 5: Solve for x
    x = 81,088.21/265.32
  6. Step 6: Final answer
    x = 305.62

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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.