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Finding the Fourth Proportional to 149.45, 206.35 and 128.99

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Solution

The fourth proportional to 149.45, 206.35 and 128.99 is: 178.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.45 : 206.35 = 128.99 : x
  2. Step 2: Convert to fraction form
    149.45/206.35 = 128.99/x
  3. Step 3: Cross multiply
    149.45x = 206.35 × 128.99
  4. Step 4: Simplify right side
    149.45x = 26,617.28
  5. Step 5: Solve for x
    x = 26,617.28/149.45
  6. Step 6: Final answer
    x = 178.11

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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.