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Finding the Fourth Proportional to 219.41, 302.69 and 145.80

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Solution

The fourth proportional to 219.41, 302.69 and 145.80 is: 201.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.41 : 302.69 = 145.80 : x
  2. Step 2: Convert to fraction form
    219.41/302.69 = 145.80/x
  3. Step 3: Cross multiply
    219.41x = 302.69 × 145.80
  4. Step 4: Simplify right side
    219.41x = 44,131.75
  5. Step 5: Solve for x
    x = 44,131.75/219.41
  6. Step 6: Final answer
    x = 201.14

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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.