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Finding the Fourth Proportional to 233.56, 350.08 and 188.20

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Solution

The fourth proportional to 233.56, 350.08 and 188.20 is: 282.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.56 : 350.08 = 188.20 : x
  2. Step 2: Convert to fraction form
    233.56/350.08 = 188.20/x
  3. Step 3: Cross multiply
    233.56x = 350.08 × 188.20
  4. Step 4: Simplify right side
    233.56x = 65,885.06
  5. Step 5: Solve for x
    x = 65,885.06/233.56
  6. Step 6: Final answer
    x = 282.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.