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Finding the Fourth Proportional to 254.70, 352.26 and 230.22

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Solution

The fourth proportional to 254.70, 352.26 and 230.22 is: 318.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.70 : 352.26 = 230.22 : x
  2. Step 2: Convert to fraction form
    254.70/352.26 = 230.22/x
  3. Step 3: Cross multiply
    254.70x = 352.26 × 230.22
  4. Step 4: Simplify right side
    254.70x = 81,097.30
  5. Step 5: Solve for x
    x = 81,097.30/254.70
  6. Step 6: Final answer
    x = 318.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.