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Finding the Fourth Proportional to 290.66, 401.19 and 187.34

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Solution

The fourth proportional to 290.66, 401.19 and 187.34 is: 258.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.66 : 401.19 = 187.34 : x
  2. Step 2: Convert to fraction form
    290.66/401.19 = 187.34/x
  3. Step 3: Cross multiply
    290.66x = 401.19 × 187.34
  4. Step 4: Simplify right side
    290.66x = 75,158.93
  5. Step 5: Solve for x
    x = 75,158.93/290.66
  6. Step 6: Final answer
    x = 258.58

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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.