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Finding the Fourth Proportional to 290.25, 435.71 and 146.27

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Solution

The fourth proportional to 290.25, 435.71 and 146.27 is: 219.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.25 : 435.71 = 146.27 : x
  2. Step 2: Convert to fraction form
    290.25/435.71 = 146.27/x
  3. Step 3: Cross multiply
    290.25x = 435.71 × 146.27
  4. Step 4: Simplify right side
    290.25x = 63,732.76
  5. Step 5: Solve for x
    x = 63,732.76/290.25
  6. Step 6: Final answer
    x = 219.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.