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Finding the Fourth Proportional to 255.46, 352.52 and 144.94

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Solution

The fourth proportional to 255.46, 352.52 and 144.94 is: 200.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.46 : 352.52 = 144.94 : x
  2. Step 2: Convert to fraction form
    255.46/352.52 = 144.94/x
  3. Step 3: Cross multiply
    255.46x = 352.52 × 144.94
  4. Step 4: Simplify right side
    255.46x = 51,094.25
  5. Step 5: Solve for x
    x = 51,094.25/255.46
  6. Step 6: Final answer
    x = 200.01

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