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Finding the Fourth Proportional to 150.15, 207.21 and 84.66

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Solution

The fourth proportional to 150.15, 207.21 and 84.66 is: 116.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.15 : 207.21 = 84.66 : x
  2. Step 2: Convert to fraction form
    150.15/207.21 = 84.66/x
  3. Step 3: Cross multiply
    150.15x = 207.21 × 84.66
  4. Step 4: Simplify right side
    150.15x = 17,541.94
  5. Step 5: Solve for x
    x = 17,541.94/150.15
  6. Step 6: Final answer
    x = 116.83

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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.