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Finding the Fourth Proportional to 290.64, 401.16 and 174.36

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Solution

The fourth proportional to 290.64, 401.16 and 174.36 is: 240.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.64 : 401.16 = 174.36 : x
  2. Step 2: Convert to fraction form
    290.64/401.16 = 174.36/x
  3. Step 3: Cross multiply
    290.64x = 401.16 × 174.36
  4. Step 4: Simplify right side
    290.64x = 69,946.26
  5. Step 5: Solve for x
    x = 69,946.26/290.64
  6. Step 6: Final answer
    x = 240.66

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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.