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Finding the Fourth Proportional to 290.62, 400.92 and 174.16

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Solution

The fourth proportional to 290.62, 400.92 and 174.16 is: 240.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.62 : 400.92 = 174.16 : x
  2. Step 2: Convert to fraction form
    290.62/400.92 = 174.16/x
  3. Step 3: Cross multiply
    290.62x = 400.92 × 174.16
  4. Step 4: Simplify right side
    290.62x = 69,824.23
  5. Step 5: Solve for x
    x = 69,824.23/290.62
  6. Step 6: Final answer
    x = 240.26

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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.