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Finding the Fourth Proportional to 235.88, 353.93 and 98.92

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Solution

The fourth proportional to 235.88, 353.93 and 98.92 is: 148.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.88 : 353.93 = 98.92 : x
  2. Step 2: Convert to fraction form
    235.88/353.93 = 98.92/x
  3. Step 3: Cross multiply
    235.88x = 353.93 × 98.92
  4. Step 4: Simplify right side
    235.88x = 35,008.49
  5. Step 5: Solve for x
    x = 35,008.49/235.88
  6. Step 6: Final answer
    x = 148.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.