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Finding the Fourth Proportional to 235.86, 325.16 and 180.38

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Solution

The fourth proportional to 235.86, 325.16 and 180.38 is: 248.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.86 : 325.16 = 180.38 : x
  2. Step 2: Convert to fraction form
    235.86/325.16 = 180.38/x
  3. Step 3: Cross multiply
    235.86x = 325.16 × 180.38
  4. Step 4: Simplify right side
    235.86x = 58,652.36
  5. Step 5: Solve for x
    x = 58,652.36/235.86
  6. Step 6: Final answer
    x = 248.67

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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.