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Finding the Fourth Proportional to 315.26, 434.70 and 204.70

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Solution

The fourth proportional to 315.26, 434.70 and 204.70 is: 282.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.26 : 434.70 = 204.70 : x
  2. Step 2: Convert to fraction form
    315.26/434.70 = 204.70/x
  3. Step 3: Cross multiply
    315.26x = 434.70 × 204.70
  4. Step 4: Simplify right side
    315.26x = 88,983.09
  5. Step 5: Solve for x
    x = 88,983.09/315.26
  6. Step 6: Final answer
    x = 282.25

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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.