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Finding the Fourth Proportional to 313.41, 432.56 and 182.46

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Solution

The fourth proportional to 313.41, 432.56 and 182.46 is: 251.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.41 : 432.56 = 182.46 : x
  2. Step 2: Convert to fraction form
    313.41/432.56 = 182.46/x
  3. Step 3: Cross multiply
    313.41x = 432.56 × 182.46
  4. Step 4: Simplify right side
    313.41x = 78,924.90
  5. Step 5: Solve for x
    x = 78,924.90/313.41
  6. Step 6: Final answer
    x = 251.83

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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.