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Finding the Fourth Proportional to 182.55, 252.02 and 120.36

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Solution

The fourth proportional to 182.55, 252.02 and 120.36 is: 166.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.55 : 252.02 = 120.36 : x
  2. Step 2: Convert to fraction form
    182.55/252.02 = 120.36/x
  3. Step 3: Cross multiply
    182.55x = 252.02 × 120.36
  4. Step 4: Simplify right side
    182.55x = 30,332.48
  5. Step 5: Solve for x
    x = 30,332.48/182.55
  6. Step 6: Final answer
    x = 166.16

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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.