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Finding the Fourth Proportional to 218.80, 328.82 and 182.46

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Solution

The fourth proportional to 218.80, 328.82 and 182.46 is: 274.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.80 : 328.82 = 182.46 : x
  2. Step 2: Convert to fraction form
    218.80/328.82 = 182.46/x
  3. Step 3: Cross multiply
    218.80x = 328.82 × 182.46
  4. Step 4: Simplify right side
    218.80x = 59,996.50
  5. Step 5: Solve for x
    x = 59,996.50/218.80
  6. Step 6: Final answer
    x = 274.21

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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.