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Finding the Fourth Proportional to 314, 433.24 and 189.62

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Solution

The fourth proportional to 314, 433.24 and 189.62 is: 261.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    314 : 433.24 = 189.62 : x
  2. Step 2: Convert to fraction form
    314/433.24 = 189.62/x
  3. Step 3: Cross multiply
    314x = 433.24 × 189.62
  4. Step 4: Simplify right side
    314x = 82,150.97
  5. Step 5: Solve for x
    x = 82,150.97/314
  6. Step 6: Final answer
    x = 261.63

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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.