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Finding the Fourth Proportional to 187.18, 257.27 and 150.28

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Solution

The fourth proportional to 187.18, 257.27 and 150.28 is: 206.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.18 : 257.27 = 150.28 : x
  2. Step 2: Convert to fraction form
    187.18/257.27 = 150.28/x
  3. Step 3: Cross multiply
    187.18x = 257.27 × 150.28
  4. Step 4: Simplify right side
    187.18x = 38,662.54
  5. Step 5: Solve for x
    x = 38,662.54/187.18
  6. Step 6: Final answer
    x = 206.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.