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Finding the Fourth Proportional to 305.76, 421.98 and 174.78

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Solution

The fourth proportional to 305.76, 421.98 and 174.78 is: 241.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.76 : 421.98 = 174.78 : x
  2. Step 2: Convert to fraction form
    305.76/421.98 = 174.78/x
  3. Step 3: Cross multiply
    305.76x = 421.98 × 174.78
  4. Step 4: Simplify right side
    305.76x = 73,753.66
  5. Step 5: Solve for x
    x = 73,753.66/305.76
  6. Step 6: Final answer
    x = 241.21

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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.