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Finding the Fourth Proportional to 207.22, 310.46 and 149.16

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Solution

The fourth proportional to 207.22, 310.46 and 149.16 is: 223.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.22 : 310.46 = 149.16 : x
  2. Step 2: Convert to fraction form
    207.22/310.46 = 149.16/x
  3. Step 3: Cross multiply
    207.22x = 310.46 × 149.16
  4. Step 4: Simplify right side
    207.22x = 46,308.21
  5. Step 5: Solve for x
    x = 46,308.21/207.22
  6. Step 6: Final answer
    x = 223.47

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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.