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Finding the Fourth Proportional to 228.20, 341.80 and 179.12

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Solution

The fourth proportional to 228.20, 341.80 and 179.12 is: 268.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.20 : 341.80 = 179.12 : x
  2. Step 2: Convert to fraction form
    228.20/341.80 = 179.12/x
  3. Step 3: Cross multiply
    228.20x = 341.80 × 179.12
  4. Step 4: Simplify right side
    228.20x = 61,223.62
  5. Step 5: Solve for x
    x = 61,223.62/228.20
  6. Step 6: Final answer
    x = 268.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.