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Finding the Fourth Proportional to 306.12, 422.40 and 188.16

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Solution

The fourth proportional to 306.12, 422.40 and 188.16 is: 259.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.12 : 422.40 = 188.16 : x
  2. Step 2: Convert to fraction form
    306.12/422.40 = 188.16/x
  3. Step 3: Cross multiply
    306.12x = 422.40 × 188.16
  4. Step 4: Simplify right side
    306.12x = 79,478.78
  5. Step 5: Solve for x
    x = 79,478.78/306.12
  6. Step 6: Final answer
    x = 259.63

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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.