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Finding the Fourth Proportional to 262.37, 395.04 and 230.24

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Solution

The fourth proportional to 262.37, 395.04 and 230.24 is: 346.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.37 : 395.04 = 230.24 : x
  2. Step 2: Convert to fraction form
    262.37/395.04 = 230.24/x
  3. Step 3: Cross multiply
    262.37x = 395.04 × 230.24
  4. Step 4: Simplify right side
    262.37x = 90,955.86
  5. Step 5: Solve for x
    x = 90,955.86/262.37
  6. Step 6: Final answer
    x = 346.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.