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Finding the Fourth Proportional to 182.57, 252.23 and 155.22

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Solution

The fourth proportional to 182.57, 252.23 and 155.22 is: 214.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.57 : 252.23 = 155.22 : x
  2. Step 2: Convert to fraction form
    182.57/252.23 = 155.22/x
  3. Step 3: Cross multiply
    182.57x = 252.23 × 155.22
  4. Step 4: Simplify right side
    182.57x = 39,150.36
  5. Step 5: Solve for x
    x = 39,150.36/182.57
  6. Step 6: Final answer
    x = 214.45

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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.