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Finding the Fourth Proportional to 235.98, 325.58 and 142.78

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Solution

The fourth proportional to 235.98, 325.58 and 142.78 is: 196.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.98 : 325.58 = 142.78 : x
  2. Step 2: Convert to fraction form
    235.98/325.58 = 142.78/x
  3. Step 3: Cross multiply
    235.98x = 325.58 × 142.78
  4. Step 4: Simplify right side
    235.98x = 46,485.86
  5. Step 5: Solve for x
    x = 46,485.86/235.98
  6. Step 6: Final answer
    x = 196.99

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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.