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Finding the Fourth Proportional to 149.32, 205.77 and 139.48

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Solution

The fourth proportional to 149.32, 205.77 and 139.48 is: 192.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.32 : 205.77 = 139.48 : x
  2. Step 2: Convert to fraction form
    149.32/205.77 = 139.48/x
  3. Step 3: Cross multiply
    149.32x = 205.77 × 139.48
  4. Step 4: Simplify right side
    149.32x = 28,700.80
  5. Step 5: Solve for x
    x = 28,700.80/149.32
  6. Step 6: Final answer
    x = 192.21

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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.