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Finding the Fourth Proportional to 254.36, 351.06 and 149.49

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Solution

The fourth proportional to 254.36, 351.06 and 149.49 is: 206.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.36 : 351.06 = 149.49 : x
  2. Step 2: Convert to fraction form
    254.36/351.06 = 149.49/x
  3. Step 3: Cross multiply
    254.36x = 351.06 × 149.49
  4. Step 4: Simplify right side
    254.36x = 52,479.40
  5. Step 5: Solve for x
    x = 52,479.40/254.36
  6. Step 6: Final answer
    x = 206.32

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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.