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Finding the Fourth Proportional to 305.99, 422.25 and 175.02

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Solution

The fourth proportional to 305.99, 422.25 and 175.02 is: 241.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.99 : 422.25 = 175.02 : x
  2. Step 2: Convert to fraction form
    305.99/422.25 = 175.02/x
  3. Step 3: Cross multiply
    305.99x = 422.25 × 175.02
  4. Step 4: Simplify right side
    305.99x = 73,902.20
  5. Step 5: Solve for x
    x = 73,902.20/305.99
  6. Step 6: Final answer
    x = 241.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.