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Finding the Fourth Proportional to 254.07, 350.46 and 166.86

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Solution

The fourth proportional to 254.07, 350.46 and 166.86 is: 230.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.07 : 350.46 = 166.86 : x
  2. Step 2: Convert to fraction form
    254.07/350.46 = 166.86/x
  3. Step 3: Cross multiply
    254.07x = 350.46 × 166.86
  4. Step 4: Simplify right side
    254.07x = 58,477.76
  5. Step 5: Solve for x
    x = 58,477.76/254.07
  6. Step 6: Final answer
    x = 230.16

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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.