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Finding the Fourth Proportional to 290.59, 401.01 and 174.13

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Solution

The fourth proportional to 290.59, 401.01 and 174.13 is: 240.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.59 : 401.01 = 174.13 : x
  2. Step 2: Convert to fraction form
    290.59/401.01 = 174.13/x
  3. Step 3: Cross multiply
    290.59x = 401.01 × 174.13
  4. Step 4: Simplify right side
    290.59x = 69,825.87
  5. Step 5: Solve for x
    x = 69,825.87/290.59
  6. Step 6: Final answer
    x = 240.29

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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.