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Finding the Fourth Proportional to 149.36, 206.16 and 114.50

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Solution

The fourth proportional to 149.36, 206.16 and 114.50 is: 158.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.36 : 206.16 = 114.50 : x
  2. Step 2: Convert to fraction form
    149.36/206.16 = 114.50/x
  3. Step 3: Cross multiply
    149.36x = 206.16 × 114.50
  4. Step 4: Simplify right side
    149.36x = 23,605.32
  5. Step 5: Solve for x
    x = 23,605.32/149.36
  6. Step 6: Final answer
    x = 158.04

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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.