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Finding the Fourth Proportional to 219.02, 302.20 and 149.00

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Solution

The fourth proportional to 219.02, 302.20 and 149.00 is: 205.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.02 : 302.20 = 149.00 : x
  2. Step 2: Convert to fraction form
    219.02/302.20 = 149.00/x
  3. Step 3: Cross multiply
    219.02x = 302.20 × 149.00
  4. Step 4: Simplify right side
    219.02x = 45,025.92
  5. Step 5: Solve for x
    x = 45,025.92/219.02
  6. Step 6: Final answer
    x = 205.58

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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.