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Finding the Fourth Proportional to 185.81, 279.34 and 151.82

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Solution

The fourth proportional to 185.81, 279.34 and 151.82 is: 228.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.81 : 279.34 = 151.82 : x
  2. Step 2: Convert to fraction form
    185.81/279.34 = 151.82/x
  3. Step 3: Cross multiply
    185.81x = 279.34 × 151.82
  4. Step 4: Simplify right side
    185.81x = 42,408.95
  5. Step 5: Solve for x
    x = 42,408.95/185.81
  6. Step 6: Final answer
    x = 228.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.