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Finding the Fourth Proportional to 254.02, 350.79 and 160.93

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Solution

The fourth proportional to 254.02, 350.79 and 160.93 is: 222.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.02 : 350.79 = 160.93 : x
  2. Step 2: Convert to fraction form
    254.02/350.79 = 160.93/x
  3. Step 3: Cross multiply
    254.02x = 350.79 × 160.93
  4. Step 4: Simplify right side
    254.02x = 56,452.63
  5. Step 5: Solve for x
    x = 56,452.63/254.02
  6. Step 6: Final answer
    x = 222.24

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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.