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Finding the Fourth Proportional to 313.19, 432.09 and 182.17

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Solution

The fourth proportional to 313.19, 432.09 and 182.17 is: 251.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.19 : 432.09 = 182.17 : x
  2. Step 2: Convert to fraction form
    313.19/432.09 = 182.17/x
  3. Step 3: Cross multiply
    313.19x = 432.09 × 182.17
  4. Step 4: Simplify right side
    313.19x = 78,713.84
  5. Step 5: Solve for x
    x = 78,713.84/313.19
  6. Step 6: Final answer
    x = 251.33

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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.