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Finding the Fourth Proportional to 302.24, 453.12 and 109.84

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Solution

The fourth proportional to 302.24, 453.12 and 109.84 is: 164.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.24 : 453.12 = 109.84 : x
  2. Step 2: Convert to fraction form
    302.24/453.12 = 109.84/x
  3. Step 3: Cross multiply
    302.24x = 453.12 × 109.84
  4. Step 4: Simplify right side
    302.24x = 49,770.70
  5. Step 5: Solve for x
    x = 49,770.70/302.24
  6. Step 6: Final answer
    x = 164.67

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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.