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Finding the Fourth Proportional to 312.23, 468.40 and 106.95

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Solution

The fourth proportional to 312.23, 468.40 and 106.95 is: 160.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.23 : 468.40 = 106.95 : x
  2. Step 2: Convert to fraction form
    312.23/468.40 = 106.95/x
  3. Step 3: Cross multiply
    312.23x = 468.40 × 106.95
  4. Step 4: Simplify right side
    312.23x = 50,095.38
  5. Step 5: Solve for x
    x = 50,095.38/312.23
  6. Step 6: Final answer
    x = 160.44

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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.