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Finding the Fourth Proportional to 188.35, 261.18 and 182.21

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Solution

The fourth proportional to 188.35, 261.18 and 182.21 is: 252.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.35 : 261.18 = 182.21 : x
  2. Step 2: Convert to fraction form
    188.35/261.18 = 182.21/x
  3. Step 3: Cross multiply
    188.35x = 261.18 × 182.21
  4. Step 4: Simplify right side
    188.35x = 47,588.30
  5. Step 5: Solve for x
    x = 47,588.30/188.35
  6. Step 6: Final answer
    x = 252.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.