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Finding the Fourth Proportional to 219, 302.09 and 145.29

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Solution

The fourth proportional to 219, 302.09 and 145.29 is: 200.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    219 : 302.09 = 145.29 : x
  2. Step 2: Convert to fraction form
    219/302.09 = 145.29/x
  3. Step 3: Cross multiply
    219x = 302.09 × 145.29
  4. Step 4: Simplify right side
    219x = 43,889.93
  5. Step 5: Solve for x
    x = 43,889.93/219
  6. Step 6: Final answer
    x = 200.41

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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.