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Finding the Fourth Proportional to 302.56, 454.06 and 120.00

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Solution

The fourth proportional to 302.56, 454.06 and 120.00 is: 180.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.56 : 454.06 = 120.00 : x
  2. Step 2: Convert to fraction form
    302.56/454.06 = 120.00/x
  3. Step 3: Cross multiply
    302.56x = 454.06 × 120.00
  4. Step 4: Simplify right side
    302.56x = 54,487.16
  5. Step 5: Solve for x
    x = 54,487.16/302.56
  6. Step 6: Final answer
    x = 180.09

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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.