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Finding the Fourth Proportional to 313.53, 432.63 and 180.77

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Solution

The fourth proportional to 313.53, 432.63 and 180.77 is: 249.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.53 : 432.63 = 180.77 : x
  2. Step 2: Convert to fraction form
    313.53/432.63 = 180.77/x
  3. Step 3: Cross multiply
    313.53x = 432.63 × 180.77
  4. Step 4: Simplify right side
    313.53x = 78,204.36
  5. Step 5: Solve for x
    x = 78,204.36/313.53
  6. Step 6: Final answer
    x = 249.43

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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.