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Finding the Fourth Proportional to 207.06, 285.54 and 160.36

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Solution

The fourth proportional to 207.06, 285.54 and 160.36 is: 221.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.06 : 285.54 = 160.36 : x
  2. Step 2: Convert to fraction form
    207.06/285.54 = 160.36/x
  3. Step 3: Cross multiply
    207.06x = 285.54 × 160.36
  4. Step 4: Simplify right side
    207.06x = 45,789.19
  5. Step 5: Solve for x
    x = 45,789.19/207.06
  6. Step 6: Final answer
    x = 221.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.