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Finding the Fourth Proportional to 286.77, 395.74 and 155.77

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Solution

The fourth proportional to 286.77, 395.74 and 155.77 is: 214.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.77 : 395.74 = 155.77 : x
  2. Step 2: Convert to fraction form
    286.77/395.74 = 155.77/x
  3. Step 3: Cross multiply
    286.77x = 395.74 × 155.77
  4. Step 4: Simplify right side
    286.77x = 61,644.42
  5. Step 5: Solve for x
    x = 61,644.42/286.77
  6. Step 6: Final answer
    x = 214.96

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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.