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Finding the Fourth Proportional to 306.29, 422.66 and 175.29

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Solution

The fourth proportional to 306.29, 422.66 and 175.29 is: 241.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.29 : 422.66 = 175.29 : x
  2. Step 2: Convert to fraction form
    306.29/422.66 = 175.29/x
  3. Step 3: Cross multiply
    306.29x = 422.66 × 175.29
  4. Step 4: Simplify right side
    306.29x = 74,088.07
  5. Step 5: Solve for x
    x = 74,088.07/306.29
  6. Step 6: Final answer
    x = 241.89

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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.