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Finding the Fourth Proportional to 253.10, 381.02 and 230.42

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Solution

The fourth proportional to 253.10, 381.02 and 230.42 is: 346.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.10 : 381.02 = 230.42 : x
  2. Step 2: Convert to fraction form
    253.10/381.02 = 230.42/x
  3. Step 3: Cross multiply
    253.10x = 381.02 × 230.42
  4. Step 4: Simplify right side
    253.10x = 87,794.63
  5. Step 5: Solve for x
    x = 87,794.63/253.10
  6. Step 6: Final answer
    x = 346.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.