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Finding the Fourth Proportional to 255.88, 353.13 and 145.37

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Solution

The fourth proportional to 255.88, 353.13 and 145.37 is: 200.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.88 : 353.13 = 145.37 : x
  2. Step 2: Convert to fraction form
    255.88/353.13 = 145.37/x
  3. Step 3: Cross multiply
    255.88x = 353.13 × 145.37
  4. Step 4: Simplify right side
    255.88x = 51,334.51
  5. Step 5: Solve for x
    x = 51,334.51/255.88
  6. Step 6: Final answer
    x = 200.62

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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.