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Finding the Fourth Proportional to 302.78, 454.23 and 120.14

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Solution

The fourth proportional to 302.78, 454.23 and 120.14 is: 180.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.78 : 454.23 = 120.14 : x
  2. Step 2: Convert to fraction form
    302.78/454.23 = 120.14/x
  3. Step 3: Cross multiply
    302.78x = 454.23 × 120.14
  4. Step 4: Simplify right side
    302.78x = 54,571.19
  5. Step 5: Solve for x
    x = 54,571.19/302.78
  6. Step 6: Final answer
    x = 180.23

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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.