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Finding the Fourth Proportional to 302.03, 453.04 and 158.03

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Solution

The fourth proportional to 302.03, 453.04 and 158.03 is: 237.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.03 : 453.04 = 158.03 : x
  2. Step 2: Convert to fraction form
    302.03/453.04 = 158.03/x
  3. Step 3: Cross multiply
    302.03x = 453.04 × 158.03
  4. Step 4: Simplify right side
    302.03x = 71,591.25
  5. Step 5: Solve for x
    x = 71,591.25/302.03
  6. Step 6: Final answer
    x = 237.04

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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.