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Finding the Fourth Proportional to 277.30, 383.41 and 230.66

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Solution

The fourth proportional to 277.30, 383.41 and 230.66 is: 318.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.30 : 383.41 = 230.66 : x
  2. Step 2: Convert to fraction form
    277.30/383.41 = 230.66/x
  3. Step 3: Cross multiply
    277.30x = 383.41 × 230.66
  4. Step 4: Simplify right side
    277.30x = 88,437.05
  5. Step 5: Solve for x
    x = 88,437.05/277.30
  6. Step 6: Final answer
    x = 318.92

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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.