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Finding the Fourth Proportional to 190.54, 287.11 and 157.05

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Solution

The fourth proportional to 190.54, 287.11 and 157.05 is: 236.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.54 : 287.11 = 157.05 : x
  2. Step 2: Convert to fraction form
    190.54/287.11 = 157.05/x
  3. Step 3: Cross multiply
    190.54x = 287.11 × 157.05
  4. Step 4: Simplify right side
    190.54x = 45,090.23
  5. Step 5: Solve for x
    x = 45,090.23/190.54
  6. Step 6: Final answer
    x = 236.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.