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Finding the Fourth Proportional to 313.57, 432.75 and 180.82

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Solution

The fourth proportional to 313.57, 432.75 and 180.82 is: 249.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.57 : 432.75 = 180.82 : x
  2. Step 2: Convert to fraction form
    313.57/432.75 = 180.82/x
  3. Step 3: Cross multiply
    313.57x = 432.75 × 180.82
  4. Step 4: Simplify right side
    313.57x = 78,249.86
  5. Step 5: Solve for x
    x = 78,249.86/313.57
  6. Step 6: Final answer
    x = 249.55

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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.