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Finding the Fourth Proportional to 313.74, 432.90 and 182.82

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Solution

The fourth proportional to 313.74, 432.90 and 182.82 is: 252.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.74 : 432.90 = 182.82 : x
  2. Step 2: Convert to fraction form
    313.74/432.90 = 182.82/x
  3. Step 3: Cross multiply
    313.74x = 432.90 × 182.82
  4. Step 4: Simplify right side
    313.74x = 79,142.78
  5. Step 5: Solve for x
    x = 79,142.78/313.74
  6. Step 6: Final answer
    x = 252.26

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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.