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Finding the Fourth Proportional to 182.18, 250.83 and 159.18

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Solution

The fourth proportional to 182.18, 250.83 and 159.18 is: 219.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.18 : 250.83 = 159.18 : x
  2. Step 2: Convert to fraction form
    182.18/250.83 = 159.18/x
  3. Step 3: Cross multiply
    182.18x = 250.83 × 159.18
  4. Step 4: Simplify right side
    182.18x = 39,927.12
  5. Step 5: Solve for x
    x = 39,927.12/182.18
  6. Step 6: Final answer
    x = 219.16

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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.