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Finding the Fourth Proportional to 182.56, 251.96 and 150.16

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Solution

The fourth proportional to 182.56, 251.96 and 150.16 is: 207.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.56 : 251.96 = 150.16 : x
  2. Step 2: Convert to fraction form
    182.56/251.96 = 150.16/x
  3. Step 3: Cross multiply
    182.56x = 251.96 × 150.16
  4. Step 4: Simplify right side
    182.56x = 37,834.31
  5. Step 5: Solve for x
    x = 37,834.31/182.56
  6. Step 6: Final answer
    x = 207.24

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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.