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Finding the Fourth Proportional to 184.97, 255 and 157.24

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Solution

The fourth proportional to 184.97, 255 and 157.24 is: 216.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.97 : 255 = 157.24 : x
  2. Step 2: Convert to fraction form
    184.97/255 = 157.24/x
  3. Step 3: Cross multiply
    184.97x = 255 × 157.24
  4. Step 4: Simplify right side
    184.97x = 40,094.93
  5. Step 5: Solve for x
    x = 40,094.93/184.97
  6. Step 6: Final answer
    x = 216.76

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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.