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Finding the Fourth Proportional to 235.56, 353.08 and 153.19

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Solution

The fourth proportional to 235.56, 353.08 and 153.19 is: 229.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.56 : 353.08 = 153.19 : x
  2. Step 2: Convert to fraction form
    235.56/353.08 = 153.19/x
  3. Step 3: Cross multiply
    235.56x = 353.08 × 153.19
  4. Step 4: Simplify right side
    235.56x = 54,089.39
  5. Step 5: Solve for x
    x = 54,089.39/235.56
  6. Step 6: Final answer
    x = 229.62

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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.