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Finding the Fourth Proportional to 254.16, 350.82 and 160.86

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Solution

The fourth proportional to 254.16, 350.82 and 160.86 is: 222.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.16 : 350.82 = 160.86 : x
  2. Step 2: Convert to fraction form
    254.16/350.82 = 160.86/x
  3. Step 3: Cross multiply
    254.16x = 350.82 × 160.86
  4. Step 4: Simplify right side
    254.16x = 56,432.91
  5. Step 5: Solve for x
    x = 56,432.91/254.16
  6. Step 6: Final answer
    x = 222.04

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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.