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Finding the Fourth Proportional to 228.22, 341.72 and 191.57

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Solution

The fourth proportional to 228.22, 341.72 and 191.57 is: 286.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.22 : 341.72 = 191.57 : x
  2. Step 2: Convert to fraction form
    228.22/341.72 = 191.57/x
  3. Step 3: Cross multiply
    228.22x = 341.72 × 191.57
  4. Step 4: Simplify right side
    228.22x = 65,461.35
  5. Step 5: Solve for x
    x = 65,461.35/228.22
  6. Step 6: Final answer
    x = 286.84

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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.