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Finding the Fourth Proportional to 235.85, 325.44 and 130.92

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Solution

The fourth proportional to 235.85, 325.44 and 130.92 is: 180.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.85 : 325.44 = 130.92 : x
  2. Step 2: Convert to fraction form
    235.85/325.44 = 130.92/x
  3. Step 3: Cross multiply
    235.85x = 325.44 × 130.92
  4. Step 4: Simplify right side
    235.85x = 42,608.50
  5. Step 5: Solve for x
    x = 42,608.50/235.85
  6. Step 6: Final answer
    x = 180.66

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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.