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Finding the Fourth Proportional to 149.50, 206.06 and 110.16

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Solution

The fourth proportional to 149.50, 206.06 and 110.16 is: 151.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.50 : 206.06 = 110.16 : x
  2. Step 2: Convert to fraction form
    149.50/206.06 = 110.16/x
  3. Step 3: Cross multiply
    149.50x = 206.06 × 110.16
  4. Step 4: Simplify right side
    149.50x = 22,699.57
  5. Step 5: Solve for x
    x = 22,699.57/149.50
  6. Step 6: Final answer
    x = 151.84

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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.