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Finding the Fourth Proportional to 306.36, 422.85 and 175.45

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Solution

The fourth proportional to 306.36, 422.85 and 175.45 is: 242.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.36 : 422.85 = 175.45 : x
  2. Step 2: Convert to fraction form
    306.36/422.85 = 175.45/x
  3. Step 3: Cross multiply
    306.36x = 422.85 × 175.45
  4. Step 4: Simplify right side
    306.36x = 74,186.92
  5. Step 5: Solve for x
    x = 74,186.92/306.36
  6. Step 6: Final answer
    x = 242.16

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