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Finding the Fourth Proportional to 184.24, 254.39 and 142.93

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Solution

The fourth proportional to 184.24, 254.39 and 142.93 is: 197.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.24 : 254.39 = 142.93 : x
  2. Step 2: Convert to fraction form
    184.24/254.39 = 142.93/x
  3. Step 3: Cross multiply
    184.24x = 254.39 × 142.93
  4. Step 4: Simplify right side
    184.24x = 36,359.96
  5. Step 5: Solve for x
    x = 36,359.96/184.24
  6. Step 6: Final answer
    x = 197.35

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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.