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Finding the Fourth Proportional to 219.01, 302.03 and 145.30

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Solution

The fourth proportional to 219.01, 302.03 and 145.30 is: 200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.01 : 302.03 = 145.30 : x
  2. Step 2: Convert to fraction form
    219.01/302.03 = 145.30/x
  3. Step 3: Cross multiply
    219.01x = 302.03 × 145.30
  4. Step 4: Simplify right side
    219.01x = 43,884.96
  5. Step 5: Solve for x
    x = 43,884.96/219.01
  6. Step 6: Final answer
    x = 200.38

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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.