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Finding the Fourth Proportional to 313.34, 432.25 and 182.27

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Solution

The fourth proportional to 313.34, 432.25 and 182.27 is: 251.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.34 : 432.25 = 182.27 : x
  2. Step 2: Convert to fraction form
    313.34/432.25 = 182.27/x
  3. Step 3: Cross multiply
    313.34x = 432.25 × 182.27
  4. Step 4: Simplify right side
    313.34x = 78,786.21
  5. Step 5: Solve for x
    x = 78,786.21/313.34
  6. Step 6: Final answer
    x = 251.44

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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.