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Finding the Fourth Proportional to 219.59, 302.14 and 189.99

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Solution

The fourth proportional to 219.59, 302.14 and 189.99 is: 261.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.59 : 302.14 = 189.99 : x
  2. Step 2: Convert to fraction form
    219.59/302.14 = 189.99/x
  3. Step 3: Cross multiply
    219.59x = 302.14 × 189.99
  4. Step 4: Simplify right side
    219.59x = 57,403.10
  5. Step 5: Solve for x
    x = 57,403.10/219.59
  6. Step 6: Final answer
    x = 261.41

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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.