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Finding the Fourth Proportional to 207.63, 310.70 and 149.92

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Solution

The fourth proportional to 207.63, 310.70 and 149.92 is: 224.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.63 : 310.70 = 149.92 : x
  2. Step 2: Convert to fraction form
    207.63/310.70 = 149.92/x
  3. Step 3: Cross multiply
    207.63x = 310.70 × 149.92
  4. Step 4: Simplify right side
    207.63x = 46,579.74
  5. Step 5: Solve for x
    x = 46,579.74/207.63
  6. Step 6: Final answer
    x = 224.34

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