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Finding the Fourth Proportional to 219.19, 302.19 and 145.52

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Solution

The fourth proportional to 219.19, 302.19 and 145.52 is: 200.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.19 : 302.19 = 145.52 : x
  2. Step 2: Convert to fraction form
    219.19/302.19 = 145.52/x
  3. Step 3: Cross multiply
    219.19x = 302.19 × 145.52
  4. Step 4: Simplify right side
    219.19x = 43,974.69
  5. Step 5: Solve for x
    x = 43,974.69/219.19
  6. Step 6: Final answer
    x = 200.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.