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Finding the Fourth Proportional to 235.57, 324.93 and 148.24

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Solution

The fourth proportional to 235.57, 324.93 and 148.24 is: 204.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.57 : 324.93 = 148.24 : x
  2. Step 2: Convert to fraction form
    235.57/324.93 = 148.24/x
  3. Step 3: Cross multiply
    235.57x = 324.93 × 148.24
  4. Step 4: Simplify right side
    235.57x = 48,167.62
  5. Step 5: Solve for x
    x = 48,167.62/235.57
  6. Step 6: Final answer
    x = 204.47

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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.