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Finding the Fourth Proportional to 235.83, 325.47 and 130.96

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Solution

The fourth proportional to 235.83, 325.47 and 130.96 is: 180.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.83 : 325.47 = 130.96 : x
  2. Step 2: Convert to fraction form
    235.83/325.47 = 130.96/x
  3. Step 3: Cross multiply
    235.83x = 325.47 × 130.96
  4. Step 4: Simplify right side
    235.83x = 42,623.23
  5. Step 5: Solve for x
    x = 42,623.23/235.83
  6. Step 6: Final answer
    x = 180.73

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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.