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Finding the Fourth Proportional to 228.03, 341.83 and 189.82

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Solution

The fourth proportional to 228.03, 341.83 and 189.82 is: 284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.03 : 341.83 = 189.82 : x
  2. Step 2: Convert to fraction form
    228.03/341.83 = 189.82/x
  3. Step 3: Cross multiply
    228.03x = 341.83 × 189.82
  4. Step 4: Simplify right side
    228.03x = 64,886.17
  5. Step 5: Solve for x
    x = 64,886.17/228.03
  6. Step 6: Final answer
    x = 284.55

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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.