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Finding the Fourth Proportional to 255.98, 353.26 and 145.46

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Solution

The fourth proportional to 255.98, 353.26 and 145.46 is: 200.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.98 : 353.26 = 145.46 : x
  2. Step 2: Convert to fraction form
    255.98/353.26 = 145.46/x
  3. Step 3: Cross multiply
    255.98x = 353.26 × 145.46
  4. Step 4: Simplify right side
    255.98x = 51,385.20
  5. Step 5: Solve for x
    x = 51,385.20/255.98
  6. Step 6: Final answer
    x = 200.74

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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.