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Finding the Fourth Proportional to 253.76, 378.64 and 230.72

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Solution

The fourth proportional to 253.76, 378.64 and 230.72 is: 344.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.76 : 378.64 = 230.72 : x
  2. Step 2: Convert to fraction form
    253.76/378.64 = 230.72/x
  3. Step 3: Cross multiply
    253.76x = 378.64 × 230.72
  4. Step 4: Simplify right side
    253.76x = 87,359.82
  5. Step 5: Solve for x
    x = 87,359.82/253.76
  6. Step 6: Final answer
    x = 344.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.