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Finding the Fourth Proportional to 313.56, 432.74 and 180.78

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Solution

The fourth proportional to 313.56, 432.74 and 180.78 is: 249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.56 : 432.74 = 180.78 : x
  2. Step 2: Convert to fraction form
    313.56/432.74 = 180.78/x
  3. Step 3: Cross multiply
    313.56x = 432.74 × 180.78
  4. Step 4: Simplify right side
    313.56x = 78,231.32
  5. Step 5: Solve for x
    x = 78,231.32/313.56
  6. Step 6: Final answer
    x = 249.50

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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.