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Finding the Fourth Proportional to 313.24, 432.29 and 180.49

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Solution

The fourth proportional to 313.24, 432.29 and 180.49 is: 249.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.24 : 432.29 = 180.49 : x
  2. Step 2: Convert to fraction form
    313.24/432.29 = 180.49/x
  3. Step 3: Cross multiply
    313.24x = 432.29 × 180.49
  4. Step 4: Simplify right side
    313.24x = 78,024.02
  5. Step 5: Solve for x
    x = 78,024.02/313.24
  6. Step 6: Final answer
    x = 249.09

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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.