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Finding the Fourth Proportional to 207.29, 310.93 and 85.55

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Solution

The fourth proportional to 207.29, 310.93 and 85.55 is: 128.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.29 : 310.93 = 85.55 : x
  2. Step 2: Convert to fraction form
    207.29/310.93 = 85.55/x
  3. Step 3: Cross multiply
    207.29x = 310.93 × 85.55
  4. Step 4: Simplify right side
    207.29x = 26,598.08
  5. Step 5: Solve for x
    x = 26,598.08/207.29
  6. Step 6: Final answer
    x = 128.32

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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.