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Finding the Fourth Proportional to 302.54, 454.07 and 120.29

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Solution

The fourth proportional to 302.54, 454.07 and 120.29 is: 180.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.54 : 454.07 = 120.29 : x
  2. Step 2: Convert to fraction form
    302.54/454.07 = 120.29/x
  3. Step 3: Cross multiply
    302.54x = 454.07 × 120.29
  4. Step 4: Simplify right side
    302.54x = 54,618.11
  5. Step 5: Solve for x
    x = 54,618.11/302.54
  6. Step 6: Final answer
    x = 180.53

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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.