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Finding the Fourth Proportional to 290.56, 401.02 and 174.19

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Solution

The fourth proportional to 290.56, 401.02 and 174.19 is: 240.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.56 : 401.02 = 174.19 : x
  2. Step 2: Convert to fraction form
    290.56/401.02 = 174.19/x
  3. Step 3: Cross multiply
    290.56x = 401.02 × 174.19
  4. Step 4: Simplify right side
    290.56x = 69,853.67
  5. Step 5: Solve for x
    x = 69,853.67/290.56
  6. Step 6: Final answer
    x = 240.41

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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.