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Finding the Fourth Proportional to 228.27, 314.85 and 149.46

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Solution

The fourth proportional to 228.27, 314.85 and 149.46 is: 206.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.27 : 314.85 = 149.46 : x
  2. Step 2: Convert to fraction form
    228.27/314.85 = 149.46/x
  3. Step 3: Cross multiply
    228.27x = 314.85 × 149.46
  4. Step 4: Simplify right side
    228.27x = 47,057.48
  5. Step 5: Solve for x
    x = 47,057.48/228.27
  6. Step 6: Final answer
    x = 206.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.