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Finding the Fourth Proportional to 277.18, 381.36 and 230.02

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Solution

The fourth proportional to 277.18, 381.36 and 230.02 is: 316.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.18 : 381.36 = 230.02 : x
  2. Step 2: Convert to fraction form
    277.18/381.36 = 230.02/x
  3. Step 3: Cross multiply
    277.18x = 381.36 × 230.02
  4. Step 4: Simplify right side
    277.18x = 87,720.43
  5. Step 5: Solve for x
    x = 87,720.43/277.18
  6. Step 6: Final answer
    x = 316.47

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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.