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Finding the Fourth Proportional to 313.05, 432.10 and 202.54

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Solution

The fourth proportional to 313.05, 432.10 and 202.54 is: 279.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.05 : 432.10 = 202.54 : x
  2. Step 2: Convert to fraction form
    313.05/432.10 = 202.54/x
  3. Step 3: Cross multiply
    313.05x = 432.10 × 202.54
  4. Step 4: Simplify right side
    313.05x = 87,517.53
  5. Step 5: Solve for x
    x = 87,517.53/313.05
  6. Step 6: Final answer
    x = 279.56

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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.