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Finding the Fourth Proportional to 228.93, 343.08 and 106.98

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Solution

The fourth proportional to 228.93, 343.08 and 106.98 is: 160.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.93 : 343.08 = 106.98 : x
  2. Step 2: Convert to fraction form
    228.93/343.08 = 106.98/x
  3. Step 3: Cross multiply
    228.93x = 343.08 × 106.98
  4. Step 4: Simplify right side
    228.93x = 36,702.70
  5. Step 5: Solve for x
    x = 36,702.70/228.93
  6. Step 6: Final answer
    x = 160.32

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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.