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Finding the Fourth Proportional to 235.32, 324.74 and 142.10

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Solution

The fourth proportional to 235.32, 324.74 and 142.10 is: 196.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.32 : 324.74 = 142.10 : x
  2. Step 2: Convert to fraction form
    235.32/324.74 = 142.10/x
  3. Step 3: Cross multiply
    235.32x = 324.74 × 142.10
  4. Step 4: Simplify right side
    235.32x = 46,145.55
  5. Step 5: Solve for x
    x = 46,145.55/235.32
  6. Step 6: Final answer
    x = 196.10

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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.