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Finding the Fourth Proportional to 290.80, 401.08 and 174.24

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Solution

The fourth proportional to 290.80, 401.08 and 174.24 is: 240.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.80 : 401.08 = 174.24 : x
  2. Step 2: Convert to fraction form
    290.80/401.08 = 174.24/x
  3. Step 3: Cross multiply
    290.80x = 401.08 × 174.24
  4. Step 4: Simplify right side
    290.80x = 69,884.18
  5. Step 5: Solve for x
    x = 69,884.18/290.80
  6. Step 6: Final answer
    x = 240.32

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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.