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Finding the Fourth Proportional to 228.20, 320.20 and 228.20

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Solution

The fourth proportional to 228.20, 320.20 and 228.20 is: 320.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.20 : 320.20 = 228.20 : x
  2. Step 2: Convert to fraction form
    228.20/320.20 = 228.20/x
  3. Step 3: Cross multiply
    228.20x = 320.20 × 228.20
  4. Step 4: Simplify right side
    228.20x = 73,069.64
  5. Step 5: Solve for x
    x = 73,069.64/228.20
  6. Step 6: Final answer
    x = 320.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.