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Finding the Fourth Proportional to 254.30, 350.93 and 137.86

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Solution

The fourth proportional to 254.30, 350.93 and 137.86 is: 190.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.30 : 350.93 = 137.86 : x
  2. Step 2: Convert to fraction form
    254.30/350.93 = 137.86/x
  3. Step 3: Cross multiply
    254.30x = 350.93 × 137.86
  4. Step 4: Simplify right side
    254.30x = 48,379.21
  5. Step 5: Solve for x
    x = 48,379.21/254.30
  6. Step 6: Final answer
    x = 190.25

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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.