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Finding the Fourth Proportional to 313.45, 432.67 and 182.57

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Solution

The fourth proportional to 313.45, 432.67 and 182.57 is: 252.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.45 : 432.67 = 182.57 : x
  2. Step 2: Convert to fraction form
    313.45/432.67 = 182.57/x
  3. Step 3: Cross multiply
    313.45x = 432.67 × 182.57
  4. Step 4: Simplify right side
    313.45x = 78,992.25
  5. Step 5: Solve for x
    x = 78,992.25/313.45
  6. Step 6: Final answer
    x = 252.01

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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.