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Finding the Fourth Proportional to 207.08, 286.01 and 185.36

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Solution

The fourth proportional to 207.08, 286.01 and 185.36 is: 256.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.08 : 286.01 = 185.36 : x
  2. Step 2: Convert to fraction form
    207.08/286.01 = 185.36/x
  3. Step 3: Cross multiply
    207.08x = 286.01 × 185.36
  4. Step 4: Simplify right side
    207.08x = 53,014.81
  5. Step 5: Solve for x
    x = 53,014.81/207.08
  6. Step 6: Final answer
    x = 256.01

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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.