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Finding the Fourth Proportional to 234.50, 325.00 and 230.90

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Solution

The fourth proportional to 234.50, 325.00 and 230.90 is: 320.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.50 : 325.00 = 230.90 : x
  2. Step 2: Convert to fraction form
    234.50/325.00 = 230.90/x
  3. Step 3: Cross multiply
    234.50x = 325.00 × 230.90
  4. Step 4: Simplify right side
    234.50x = 75,041.35
  5. Step 5: Solve for x
    x = 75,041.35/234.50
  6. Step 6: Final answer
    x = 320.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.