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Finding the Fourth Proportional to 315.15, 434.91 and 204.84

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Solution

The fourth proportional to 315.15, 434.91 and 204.84 is: 282.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.15 : 434.91 = 204.84 : x
  2. Step 2: Convert to fraction form
    315.15/434.91 = 204.84/x
  3. Step 3: Cross multiply
    315.15x = 434.91 × 204.84
  4. Step 4: Simplify right side
    315.15x = 89,086.96
  5. Step 5: Solve for x
    x = 89,086.96/315.15
  6. Step 6: Final answer
    x = 282.68

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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.