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Finding the Fourth Proportional to 305.09, 420.91 and 174.03

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Solution

The fourth proportional to 305.09, 420.91 and 174.03 is: 240.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.09 : 420.91 = 174.03 : x
  2. Step 2: Convert to fraction form
    305.09/420.91 = 174.03/x
  3. Step 3: Cross multiply
    305.09x = 420.91 × 174.03
  4. Step 4: Simplify right side
    305.09x = 73,248.95
  5. Step 5: Solve for x
    x = 73,248.95/305.09
  6. Step 6: Final answer
    x = 240.09

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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.