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Finding the Fourth Proportional to 207.60, 285.83 and 183.62

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Solution

The fourth proportional to 207.60, 285.83 and 183.62 is: 252.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.60 : 285.83 = 183.62 : x
  2. Step 2: Convert to fraction form
    207.60/285.83 = 183.62/x
  3. Step 3: Cross multiply
    207.60x = 285.83 × 183.62
  4. Step 4: Simplify right side
    207.60x = 52,484.10
  5. Step 5: Solve for x
    x = 52,484.10/207.60
  6. Step 6: Final answer
    x = 252.81

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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.