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Finding the Fourth Proportional to 228.03, 314.50 and 149.25

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Solution

The fourth proportional to 228.03, 314.50 and 149.25 is: 205.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.03 : 314.50 = 149.25 : x
  2. Step 2: Convert to fraction form
    228.03/314.50 = 149.25/x
  3. Step 3: Cross multiply
    228.03x = 314.50 × 149.25
  4. Step 4: Simplify right side
    228.03x = 46,939.54
  5. Step 5: Solve for x
    x = 46,939.54/228.03
  6. Step 6: Final answer
    x = 205.85

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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.