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Finding the Fourth Proportional to 184.90, 255.16 and 102.01

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Solution

The fourth proportional to 184.90, 255.16 and 102.01 is: 140.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.90 : 255.16 = 102.01 : x
  2. Step 2: Convert to fraction form
    184.90/255.16 = 102.01/x
  3. Step 3: Cross multiply
    184.90x = 255.16 × 102.01
  4. Step 4: Simplify right side
    184.90x = 26,028.87
  5. Step 5: Solve for x
    x = 26,028.87/184.90
  6. Step 6: Final answer
    x = 140.77

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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.