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Finding the Fourth Proportional to 313.78, 432.97 and 189.49

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Solution

The fourth proportional to 313.78, 432.97 and 189.49 is: 261.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.78 : 432.97 = 189.49 : x
  2. Step 2: Convert to fraction form
    313.78/432.97 = 189.49/x
  3. Step 3: Cross multiply
    313.78x = 432.97 × 189.49
  4. Step 4: Simplify right side
    313.78x = 82,043.49
  5. Step 5: Solve for x
    x = 82,043.49/313.78
  6. Step 6: Final answer
    x = 261.47

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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.