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Finding the Fourth Proportional to 314.35, 434.10 and 202.52

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Solution

The fourth proportional to 314.35, 434.10 and 202.52 is: 279.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.35 : 434.10 = 202.52 : x
  2. Step 2: Convert to fraction form
    314.35/434.10 = 202.52/x
  3. Step 3: Cross multiply
    314.35x = 434.10 × 202.52
  4. Step 4: Simplify right side
    314.35x = 87,912.27
  5. Step 5: Solve for x
    x = 87,912.27/314.35
  6. Step 6: Final answer
    x = 279.66

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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.