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Finding the Fourth Proportional to 148.96, 205.68 and 119.98

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Solution

The fourth proportional to 148.96, 205.68 and 119.98 is: 165.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.96 : 205.68 = 119.98 : x
  2. Step 2: Convert to fraction form
    148.96/205.68 = 119.98/x
  3. Step 3: Cross multiply
    148.96x = 205.68 × 119.98
  4. Step 4: Simplify right side
    148.96x = 24,677.49
  5. Step 5: Solve for x
    x = 24,677.49/148.96
  6. Step 6: Final answer
    x = 165.67

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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.