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Finding the Fourth Proportional to 182.25, 251.51 and 135.66

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Solution

The fourth proportional to 182.25, 251.51 and 135.66 is: 187.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.25 : 251.51 = 135.66 : x
  2. Step 2: Convert to fraction form
    182.25/251.51 = 135.66/x
  3. Step 3: Cross multiply
    182.25x = 251.51 × 135.66
  4. Step 4: Simplify right side
    182.25x = 34,119.76
  5. Step 5: Solve for x
    x = 34,119.76/182.25
  6. Step 6: Final answer
    x = 187.21

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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.