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Finding the Fourth Proportional to 290.52, 400.88 and 174.04

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Solution

The fourth proportional to 290.52, 400.88 and 174.04 is: 240.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.52 : 400.88 = 174.04 : x
  2. Step 2: Convert to fraction form
    290.52/400.88 = 174.04/x
  3. Step 3: Cross multiply
    290.52x = 400.88 × 174.04
  4. Step 4: Simplify right side
    290.52x = 69,769.16
  5. Step 5: Solve for x
    x = 69,769.16/290.52
  6. Step 6: Final answer
    x = 240.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.