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Finding the Fourth Proportional to 207.55, 286.32 and 166

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Solution

The fourth proportional to 207.55, 286.32 and 166 is: 229.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.55 : 286.32 = 166 : x
  2. Step 2: Convert to fraction form
    207.55/286.32 = 166/x
  3. Step 3: Cross multiply
    207.55x = 286.32 × 166
  4. Step 4: Simplify right side
    207.55x = 47,528.29
  5. Step 5: Solve for x
    x = 47,528.29/207.55
  6. Step 6: Final answer
    x = 229.00

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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.