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Finding the Fourth Proportional to 255.02, 351.41 and 184.95

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Solution

The fourth proportional to 255.02, 351.41 and 184.95 is: 254.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.02 : 351.41 = 184.95 : x
  2. Step 2: Convert to fraction form
    255.02/351.41 = 184.95/x
  3. Step 3: Cross multiply
    255.02x = 351.41 × 184.95
  4. Step 4: Simplify right side
    255.02x = 64,993.28
  5. Step 5: Solve for x
    x = 64,993.28/255.02
  6. Step 6: Final answer
    x = 254.86

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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.