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Finding the Fourth Proportional to 255.34, 352.50 and 230.44

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Solution

The fourth proportional to 255.34, 352.50 and 230.44 is: 318.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.34 : 352.50 = 230.44 : x
  2. Step 2: Convert to fraction form
    255.34/352.50 = 230.44/x
  3. Step 3: Cross multiply
    255.34x = 352.50 × 230.44
  4. Step 4: Simplify right side
    255.34x = 81,230.10
  5. Step 5: Solve for x
    x = 81,230.10/255.34
  6. Step 6: Final answer
    x = 318.13

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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.