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Finding the Fourth Proportional to 219.51, 302.68 and 149.42

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Solution

The fourth proportional to 219.51, 302.68 and 149.42 is: 206.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.51 : 302.68 = 149.42 : x
  2. Step 2: Convert to fraction form
    219.51/302.68 = 149.42/x
  3. Step 3: Cross multiply
    219.51x = 302.68 × 149.42
  4. Step 4: Simplify right side
    219.51x = 45,225.70
  5. Step 5: Solve for x
    x = 45,225.70/219.51
  6. Step 6: Final answer
    x = 206.03

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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.