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Finding the Fourth Proportional to 301.84, 453.02 and 165.02

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Solution

The fourth proportional to 301.84, 453.02 and 165.02 is: 247.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.84 : 453.02 = 165.02 : x
  2. Step 2: Convert to fraction form
    301.84/453.02 = 165.02/x
  3. Step 3: Cross multiply
    301.84x = 453.02 × 165.02
  4. Step 4: Simplify right side
    301.84x = 74,757.36
  5. Step 5: Solve for x
    x = 74,757.36/301.84
  6. Step 6: Final answer
    x = 247.67

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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.