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Finding the Fourth Proportional to 302.62, 454.01 and 120.02

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Solution

The fourth proportional to 302.62, 454.01 and 120.02 is: 180.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.62 : 454.01 = 120.02 : x
  2. Step 2: Convert to fraction form
    302.62/454.01 = 120.02/x
  3. Step 3: Cross multiply
    302.62x = 454.01 × 120.02
  4. Step 4: Simplify right side
    302.62x = 54,490.28
  5. Step 5: Solve for x
    x = 54,490.28/302.62
  6. Step 6: Final answer
    x = 180.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.