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Finding the Fourth Proportional to 254.76, 351.50 and 149.84

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Solution

The fourth proportional to 254.76, 351.50 and 149.84 is: 206.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.76 : 351.50 = 149.84 : x
  2. Step 2: Convert to fraction form
    254.76/351.50 = 149.84/x
  3. Step 3: Cross multiply
    254.76x = 351.50 × 149.84
  4. Step 4: Simplify right side
    254.76x = 52,668.76
  5. Step 5: Solve for x
    x = 52,668.76/254.76
  6. Step 6: Final answer
    x = 206.74

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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.