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Finding the Fourth Proportional to 290.18, 400.75 and 228.02

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Solution

The fourth proportional to 290.18, 400.75 and 228.02 is: 314.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.18 : 400.75 = 228.02 : x
  2. Step 2: Convert to fraction form
    290.18/400.75 = 228.02/x
  3. Step 3: Cross multiply
    290.18x = 400.75 × 228.02
  4. Step 4: Simplify right side
    290.18x = 91,376.44
  5. Step 5: Solve for x
    x = 91,376.44/290.18
  6. Step 6: Final answer
    x = 314.89

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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.