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Finding the Fourth Proportional to 235.92, 353.86 and 98.77

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Solution

The fourth proportional to 235.92, 353.86 and 98.77 is: 148.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.92 : 353.86 = 98.77 : x
  2. Step 2: Convert to fraction form
    235.92/353.86 = 98.77/x
  3. Step 3: Cross multiply
    235.92x = 353.86 × 98.77
  4. Step 4: Simplify right side
    235.92x = 34,950.75
  5. Step 5: Solve for x
    x = 34,950.75/235.92
  6. Step 6: Final answer
    x = 148.15

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Why These Related Problems?

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