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Finding the Fourth Proportional to 255.50, 352.61 and 144.99

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Solution

The fourth proportional to 255.50, 352.61 and 144.99 is: 200.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.50 : 352.61 = 144.99 : x
  2. Step 2: Convert to fraction form
    255.50/352.61 = 144.99/x
  3. Step 3: Cross multiply
    255.50x = 352.61 × 144.99
  4. Step 4: Simplify right side
    255.50x = 51,124.20
  5. Step 5: Solve for x
    x = 51,124.20/255.50
  6. Step 6: Final answer
    x = 200.10

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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.