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Finding the Fourth Proportional to 315, 434.68 and 202.84

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Solution

The fourth proportional to 315, 434.68 and 202.84 is: 279.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    315 : 434.68 = 202.84 : x
  2. Step 2: Convert to fraction form
    315/434.68 = 202.84/x
  3. Step 3: Cross multiply
    315x = 434.68 × 202.84
  4. Step 4: Simplify right side
    315x = 88,170.49
  5. Step 5: Solve for x
    x = 88,170.49/315
  6. Step 6: Final answer
    x = 279.91

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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.