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Finding the Fourth Proportional to 285.09, 393.43 and 201.19

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Solution

The fourth proportional to 285.09, 393.43 and 201.19 is: 277.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.09 : 393.43 = 201.19 : x
  2. Step 2: Convert to fraction form
    285.09/393.43 = 201.19/x
  3. Step 3: Cross multiply
    285.09x = 393.43 × 201.19
  4. Step 4: Simplify right side
    285.09x = 79,154.18
  5. Step 5: Solve for x
    x = 79,154.18/285.09
  6. Step 6: Final answer
    x = 277.65

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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.