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Finding the Fourth Proportional to 235.04, 324.36 and 141.84

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Solution

The fourth proportional to 235.04, 324.36 and 141.84 is: 195.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.04 : 324.36 = 141.84 : x
  2. Step 2: Convert to fraction form
    235.04/324.36 = 141.84/x
  3. Step 3: Cross multiply
    235.04x = 324.36 × 141.84
  4. Step 4: Simplify right side
    235.04x = 46,007.22
  5. Step 5: Solve for x
    x = 46,007.22/235.04
  6. Step 6: Final answer
    x = 195.74

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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.