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Finding the Fourth Proportional to 182.77, 252.15 and 109.06

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Solution

The fourth proportional to 182.77, 252.15 and 109.06 is: 150.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.77 : 252.15 = 109.06 : x
  2. Step 2: Convert to fraction form
    182.77/252.15 = 109.06/x
  3. Step 3: Cross multiply
    182.77x = 252.15 × 109.06
  4. Step 4: Simplify right side
    182.77x = 27,499.48
  5. Step 5: Solve for x
    x = 27,499.48/182.77
  6. Step 6: Final answer
    x = 150.46

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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.