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Finding the Fourth Proportional to 305, 420.83 and 173.96

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Solution

The fourth proportional to 305, 420.83 and 173.96 is: 240.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    305 : 420.83 = 173.96 : x
  2. Step 2: Convert to fraction form
    305/420.83 = 173.96/x
  3. Step 3: Cross multiply
    305x = 420.83 × 173.96
  4. Step 4: Simplify right side
    305x = 73,206.72
  5. Step 5: Solve for x
    x = 73,206.72/305
  6. Step 6: Final answer
    x = 240.02

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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.