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Finding the Fourth Proportional to 313.67, 432.82 and 180.86

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Solution

The fourth proportional to 313.67, 432.82 and 180.86 is: 249.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.67 : 432.82 = 180.86 : x
  2. Step 2: Convert to fraction form
    313.67/432.82 = 180.86/x
  3. Step 3: Cross multiply
    313.67x = 432.82 × 180.86
  4. Step 4: Simplify right side
    313.67x = 78,279.83
  5. Step 5: Solve for x
    x = 78,279.83/313.67
  6. Step 6: Final answer
    x = 249.57

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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.