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Finding the Fourth Proportional to 207.14, 310.47 and 70.07

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Solution

The fourth proportional to 207.14, 310.47 and 70.07 is: 105.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.14 : 310.47 = 70.07 : x
  2. Step 2: Convert to fraction form
    207.14/310.47 = 70.07/x
  3. Step 3: Cross multiply
    207.14x = 310.47 × 70.07
  4. Step 4: Simplify right side
    207.14x = 21,755.08
  5. Step 5: Solve for x
    x = 21,755.08/207.14
  6. Step 6: Final answer
    x = 105.03

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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.