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Finding the Fourth Proportional to 228.78, 342.27 and 197.10

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Solution

The fourth proportional to 228.78, 342.27 and 197.10 is: 294.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.78 : 342.27 = 197.10 : x
  2. Step 2: Convert to fraction form
    228.78/342.27 = 197.10/x
  3. Step 3: Cross multiply
    228.78x = 342.27 × 197.10
  4. Step 4: Simplify right side
    228.78x = 67,461.42
  5. Step 5: Solve for x
    x = 67,461.42/228.78
  6. Step 6: Final answer
    x = 294.87

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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.