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Finding the Fourth Proportional to 235.51, 324.88 and 142.20

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Solution

The fourth proportional to 235.51, 324.88 and 142.20 is: 196.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.51 : 324.88 = 142.20 : x
  2. Step 2: Convert to fraction form
    235.51/324.88 = 142.20/x
  3. Step 3: Cross multiply
    235.51x = 324.88 × 142.20
  4. Step 4: Simplify right side
    235.51x = 46,197.58
  5. Step 5: Solve for x
    x = 46,197.58/235.51
  6. Step 6: Final answer
    x = 196.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.