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Finding the Fourth Proportional to 313.00, 431.66 and 202.37

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Solution

The fourth proportional to 313.00, 431.66 and 202.37 is: 279.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.00 : 431.66 = 202.37 : x
  2. Step 2: Convert to fraction form
    313.00/431.66 = 202.37/x
  3. Step 3: Cross multiply
    313.00x = 431.66 × 202.37
  4. Step 4: Simplify right side
    313.00x = 87,353.38
  5. Step 5: Solve for x
    x = 87,353.38/313.00
  6. Step 6: Final answer
    x = 279.09

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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.