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Finding the Fourth Proportional to 228.88, 315.94 and 146.12

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Solution

The fourth proportional to 228.88, 315.94 and 146.12 is: 201.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.88 : 315.94 = 146.12 : x
  2. Step 2: Convert to fraction form
    228.88/315.94 = 146.12/x
  3. Step 3: Cross multiply
    228.88x = 315.94 × 146.12
  4. Step 4: Simplify right side
    228.88x = 46,165.15
  5. Step 5: Solve for x
    x = 46,165.15/228.88
  6. Step 6: Final answer
    x = 201.70

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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.