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Finding the Fourth Proportional to 290.55, 401.00 and 180.07

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Solution

The fourth proportional to 290.55, 401.00 and 180.07 is: 248.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.55 : 401.00 = 180.07 : x
  2. Step 2: Convert to fraction form
    290.55/401.00 = 180.07/x
  3. Step 3: Cross multiply
    290.55x = 401.00 × 180.07
  4. Step 4: Simplify right side
    290.55x = 72,209.44
  5. Step 5: Solve for x
    x = 72,209.44/290.55
  6. Step 6: Final answer
    x = 248.52

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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.