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Finding the Fourth Proportional to 207.31, 310.89 and 70.32

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Solution

The fourth proportional to 207.31, 310.89 and 70.32 is: 105.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.31 : 310.89 = 70.32 : x
  2. Step 2: Convert to fraction form
    207.31/310.89 = 70.32/x
  3. Step 3: Cross multiply
    207.31x = 310.89 × 70.32
  4. Step 4: Simplify right side
    207.31x = 21,861.07
  5. Step 5: Solve for x
    x = 21,861.07/207.31
  6. Step 6: Final answer
    x = 105.45

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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.