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Finding the Fourth Proportional to 219.18, 302.43 and 145.50

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Solution

The fourth proportional to 219.18, 302.43 and 145.50 is: 200.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.18 : 302.43 = 145.50 : x
  2. Step 2: Convert to fraction form
    219.18/302.43 = 145.50/x
  3. Step 3: Cross multiply
    219.18x = 302.43 × 145.50
  4. Step 4: Simplify right side
    219.18x = 44,003.57
  5. Step 5: Solve for x
    x = 44,003.57/219.18
  6. Step 6: Final answer
    x = 200.76

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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.