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Finding the Fourth Proportional to 255.53, 352.23 and 234.35

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Solution

The fourth proportional to 255.53, 352.23 and 234.35 is: 323.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.53 : 352.23 = 234.35 : x
  2. Step 2: Convert to fraction form
    255.53/352.23 = 234.35/x
  3. Step 3: Cross multiply
    255.53x = 352.23 × 234.35
  4. Step 4: Simplify right side
    255.53x = 82,543.34
  5. Step 5: Solve for x
    x = 82,543.34/255.53
  6. Step 6: Final answer
    x = 323.02

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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.