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Finding the Fourth Proportional to 235.36, 324.46 and 146.79

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Solution

The fourth proportional to 235.36, 324.46 and 146.79 is: 202.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.36 : 324.46 = 146.79 : x
  2. Step 2: Convert to fraction form
    235.36/324.46 = 146.79/x
  3. Step 3: Cross multiply
    235.36x = 324.46 × 146.79
  4. Step 4: Simplify right side
    235.36x = 47,627.48
  5. Step 5: Solve for x
    x = 47,627.48/235.36
  6. Step 6: Final answer
    x = 202.36

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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.