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Finding the Fourth Proportional to 149.50, 206.36 and 102.84

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Solution

The fourth proportional to 149.50, 206.36 and 102.84 is: 141.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.50 : 206.36 = 102.84 : x
  2. Step 2: Convert to fraction form
    149.50/206.36 = 102.84/x
  3. Step 3: Cross multiply
    149.50x = 206.36 × 102.84
  4. Step 4: Simplify right side
    149.50x = 21,222.06
  5. Step 5: Solve for x
    x = 21,222.06/149.50
  6. Step 6: Final answer
    x = 141.95

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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.