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Finding the Fourth Proportional to 218.16, 300.94 and 130.82

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Solution

The fourth proportional to 218.16, 300.94 and 130.82 is: 180.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.16 : 300.94 = 130.82 : x
  2. Step 2: Convert to fraction form
    218.16/300.94 = 130.82/x
  3. Step 3: Cross multiply
    218.16x = 300.94 × 130.82
  4. Step 4: Simplify right side
    218.16x = 39,367.14
  5. Step 5: Solve for x
    x = 39,367.14/218.16
  6. Step 6: Final answer
    x = 180.45

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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.