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Finding the Fourth Proportional to 290.59, 400.82 and 174.07

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Solution

The fourth proportional to 290.59, 400.82 and 174.07 is: 240.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.59 : 400.82 = 174.07 : x
  2. Step 2: Convert to fraction form
    290.59/400.82 = 174.07/x
  3. Step 3: Cross multiply
    290.59x = 400.82 × 174.07
  4. Step 4: Simplify right side
    290.59x = 69,769.87
  5. Step 5: Solve for x
    x = 69,769.87/290.59
  6. Step 6: Final answer
    x = 240.10

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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.