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Finding the Fourth Proportional to 207.21, 310.92 and 91.77

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Solution

The fourth proportional to 207.21, 310.92 and 91.77 is: 137.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.21 : 310.92 = 91.77 : x
  2. Step 2: Convert to fraction form
    207.21/310.92 = 91.77/x
  3. Step 3: Cross multiply
    207.21x = 310.92 × 91.77
  4. Step 4: Simplify right side
    207.21x = 28,532.13
  5. Step 5: Solve for x
    x = 28,532.13/207.21
  6. Step 6: Final answer
    x = 137.70

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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.