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Finding the Fourth Proportional to 302.26, 453.40 and 109.90

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Solution

The fourth proportional to 302.26, 453.40 and 109.90 is: 164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.26 : 453.40 = 109.90 : x
  2. Step 2: Convert to fraction form
    302.26/453.40 = 109.90/x
  3. Step 3: Cross multiply
    302.26x = 453.40 × 109.90
  4. Step 4: Simplify right side
    302.26x = 49,828.66
  5. Step 5: Solve for x
    x = 49,828.66/302.26
  6. Step 6: Final answer
    x = 164.85

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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.