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Finding the Fourth Proportional to 235.38, 324.70 and 142.10

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Solution

The fourth proportional to 235.38, 324.70 and 142.10 is: 196.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.38 : 324.70 = 142.10 : x
  2. Step 2: Convert to fraction form
    235.38/324.70 = 142.10/x
  3. Step 3: Cross multiply
    235.38x = 324.70 × 142.10
  4. Step 4: Simplify right side
    235.38x = 46,139.87
  5. Step 5: Solve for x
    x = 46,139.87/235.38
  6. Step 6: Final answer
    x = 196.02

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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.