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Finding the Fourth Proportional to 254.02, 350.50 and 160.75

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Solution

The fourth proportional to 254.02, 350.50 and 160.75 is: 221.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.02 : 350.50 = 160.75 : x
  2. Step 2: Convert to fraction form
    254.02/350.50 = 160.75/x
  3. Step 3: Cross multiply
    254.02x = 350.50 × 160.75
  4. Step 4: Simplify right side
    254.02x = 56,342.88
  5. Step 5: Solve for x
    x = 56,342.88/254.02
  6. Step 6: Final answer
    x = 221.80

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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.