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Finding the Fourth Proportional to 306.00, 422.29 and 175.01

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Solution

The fourth proportional to 306.00, 422.29 and 175.01 is: 241.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.00 : 422.29 = 175.01 : x
  2. Step 2: Convert to fraction form
    306.00/422.29 = 175.01/x
  3. Step 3: Cross multiply
    306.00x = 422.29 × 175.01
  4. Step 4: Simplify right side
    306.00x = 73,904.01
  5. Step 5: Solve for x
    x = 73,904.01/306.00
  6. Step 6: Final answer
    x = 241.51

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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.