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Finding the Fourth Proportional to 235.72, 325.31 and 142.51

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Solution

The fourth proportional to 235.72, 325.31 and 142.51 is: 196.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.72 : 325.31 = 142.51 : x
  2. Step 2: Convert to fraction form
    235.72/325.31 = 142.51/x
  3. Step 3: Cross multiply
    235.72x = 325.31 × 142.51
  4. Step 4: Simplify right side
    235.72x = 46,359.93
  5. Step 5: Solve for x
    x = 46,359.93/235.72
  6. Step 6: Final answer
    x = 196.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.