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Finding the Fourth Proportional to 305.15, 421.13 and 174.13

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Solution

The fourth proportional to 305.15, 421.13 and 174.13 is: 240.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.15 : 421.13 = 174.13 : x
  2. Step 2: Convert to fraction form
    305.15/421.13 = 174.13/x
  3. Step 3: Cross multiply
    305.15x = 421.13 × 174.13
  4. Step 4: Simplify right side
    305.15x = 73,331.37
  5. Step 5: Solve for x
    x = 73,331.37/305.15
  6. Step 6: Final answer
    x = 240.31

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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.