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Finding the Fourth Proportional to 198.55, 297.86 and 95.77

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Solution

The fourth proportional to 198.55, 297.86 and 95.77 is: 143.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.55 : 297.86 = 95.77 : x
  2. Step 2: Convert to fraction form
    198.55/297.86 = 95.77/x
  3. Step 3: Cross multiply
    198.55x = 297.86 × 95.77
  4. Step 4: Simplify right side
    198.55x = 28,526.05
  5. Step 5: Solve for x
    x = 28,526.05/198.55
  6. Step 6: Final answer
    x = 143.67

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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.