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Finding the Fourth Proportional to 235.53, 324.96 and 157.01

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Solution

The fourth proportional to 235.53, 324.96 and 157.01 is: 216.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.53 : 324.96 = 157.01 : x
  2. Step 2: Convert to fraction form
    235.53/324.96 = 157.01/x
  3. Step 3: Cross multiply
    235.53x = 324.96 × 157.01
  4. Step 4: Simplify right side
    235.53x = 51,020.34
  5. Step 5: Solve for x
    x = 51,020.34/235.53
  6. Step 6: Final answer
    x = 216.62

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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.