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Finding the Fourth Proportional to 254.16, 350.77 and 188.85

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Solution

The fourth proportional to 254.16, 350.77 and 188.85 is: 260.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.16 : 350.77 = 188.85 : x
  2. Step 2: Convert to fraction form
    254.16/350.77 = 188.85/x
  3. Step 3: Cross multiply
    254.16x = 350.77 × 188.85
  4. Step 4: Simplify right side
    254.16x = 66,242.91
  5. Step 5: Solve for x
    x = 66,242.91/254.16
  6. Step 6: Final answer
    x = 260.63

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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.