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Finding the Fourth Proportional to 185.86, 256.49 and 102.98

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Solution

The fourth proportional to 185.86, 256.49 and 102.98 is: 142.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.86 : 256.49 = 102.98 : x
  2. Step 2: Convert to fraction form
    185.86/256.49 = 102.98/x
  3. Step 3: Cross multiply
    185.86x = 256.49 × 102.98
  4. Step 4: Simplify right side
    185.86x = 26,412.06
  5. Step 5: Solve for x
    x = 26,412.06/185.86
  6. Step 6: Final answer
    x = 142.11

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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.