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Finding the Fourth Proportional to 149.16, 205.74 and 114.21

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Solution

The fourth proportional to 149.16, 205.74 and 114.21 is: 157.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.16 : 205.74 = 114.21 : x
  2. Step 2: Convert to fraction form
    149.16/205.74 = 114.21/x
  3. Step 3: Cross multiply
    149.16x = 205.74 × 114.21
  4. Step 4: Simplify right side
    149.16x = 23,497.57
  5. Step 5: Solve for x
    x = 23,497.57/149.16
  6. Step 6: Final answer
    x = 157.53

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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.