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Finding the Fourth Proportional to 187.22, 277.52 and 184.31

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Solution

The fourth proportional to 187.22, 277.52 and 184.31 is: 273.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.22 : 277.52 = 184.31 : x
  2. Step 2: Convert to fraction form
    187.22/277.52 = 184.31/x
  3. Step 3: Cross multiply
    187.22x = 277.52 × 184.31
  4. Step 4: Simplify right side
    187.22x = 51,149.48
  5. Step 5: Solve for x
    x = 51,149.48/187.22
  6. Step 6: Final answer
    x = 273.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.