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Finding the Fourth Proportional to 315.24, 434.81 and 204.68

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Solution

The fourth proportional to 315.24, 434.81 and 204.68 is: 282.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.24 : 434.81 = 204.68 : x
  2. Step 2: Convert to fraction form
    315.24/434.81 = 204.68/x
  3. Step 3: Cross multiply
    315.24x = 434.81 × 204.68
  4. Step 4: Simplify right side
    315.24x = 88,995.25
  5. Step 5: Solve for x
    x = 88,995.25/315.24
  6. Step 6: Final answer
    x = 282.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.