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Finding the Fourth Proportional to 315.16, 434.82 and 204.64

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Solution

The fourth proportional to 315.16, 434.82 and 204.64 is: 282.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.16 : 434.82 = 204.64 : x
  2. Step 2: Convert to fraction form
    315.16/434.82 = 204.64/x
  3. Step 3: Cross multiply
    315.16x = 434.82 × 204.64
  4. Step 4: Simplify right side
    315.16x = 88,981.56
  5. Step 5: Solve for x
    x = 88,981.56/315.16
  6. Step 6: Final answer
    x = 282.34

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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.