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Finding the Fourth Proportional to 182.58, 252.06 and 120.50

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Solution

The fourth proportional to 182.58, 252.06 and 120.50 is: 166.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.58 : 252.06 = 120.50 : x
  2. Step 2: Convert to fraction form
    182.58/252.06 = 120.50/x
  3. Step 3: Cross multiply
    182.58x = 252.06 × 120.50
  4. Step 4: Simplify right side
    182.58x = 30,373.23
  5. Step 5: Solve for x
    x = 30,373.23/182.58
  6. Step 6: Final answer
    x = 166.36

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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.