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Finding the Fourth Proportional to 302.70, 454.05 and 158.32

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Solution

The fourth proportional to 302.70, 454.05 and 158.32 is: 237.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.70 : 454.05 = 158.32 : x
  2. Step 2: Convert to fraction form
    302.70/454.05 = 158.32/x
  3. Step 3: Cross multiply
    302.70x = 454.05 × 158.32
  4. Step 4: Simplify right side
    302.70x = 71,885.20
  5. Step 5: Solve for x
    x = 71,885.20/302.70
  6. Step 6: Final answer
    x = 237.48

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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.