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Finding the Fourth Proportional to 240.50, 359.66 and 182.06

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Solution

The fourth proportional to 240.50, 359.66 and 182.06 is: 272.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.50 : 359.66 = 182.06 : x
  2. Step 2: Convert to fraction form
    240.50/359.66 = 182.06/x
  3. Step 3: Cross multiply
    240.50x = 359.66 × 182.06
  4. Step 4: Simplify right side
    240.50x = 65,476.99
  5. Step 5: Solve for x
    x = 65,476.99/240.50
  6. Step 6: Final answer
    x = 272.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.