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Finding the Fourth Proportional to 219.67, 302.95 and 197.23

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Solution

The fourth proportional to 219.67, 302.95 and 197.23 is: 272.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.67 : 302.95 = 197.23 : x
  2. Step 2: Convert to fraction form
    219.67/302.95 = 197.23/x
  3. Step 3: Cross multiply
    219.67x = 302.95 × 197.23
  4. Step 4: Simplify right side
    219.67x = 59,750.83
  5. Step 5: Solve for x
    x = 59,750.83/219.67
  6. Step 6: Final answer
    x = 272.00

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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.