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Finding the Fourth Proportional to 314, 433.22 and 203.56

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Solution

The fourth proportional to 314, 433.22 and 203.56 is: 280.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    314 : 433.22 = 203.56 : x
  2. Step 2: Convert to fraction form
    314/433.22 = 203.56/x
  3. Step 3: Cross multiply
    314x = 433.22 × 203.56
  4. Step 4: Simplify right side
    314x = 88,186.26
  5. Step 5: Solve for x
    x = 88,186.26/314
  6. Step 6: Final answer
    x = 280.85

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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.