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Finding the Fourth Proportional to 182.35, 251.07 and 154.66

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Solution

The fourth proportional to 182.35, 251.07 and 154.66 is: 212.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.35 : 251.07 = 154.66 : x
  2. Step 2: Convert to fraction form
    182.35/251.07 = 154.66/x
  3. Step 3: Cross multiply
    182.35x = 251.07 × 154.66
  4. Step 4: Simplify right side
    182.35x = 38,830.49
  5. Step 5: Solve for x
    x = 38,830.49/182.35
  6. Step 6: Final answer
    x = 212.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.