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Finding the Fourth Proportional to 234.18, 323.10 and 149.00

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Solution

The fourth proportional to 234.18, 323.10 and 149.00 is: 205.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.18 : 323.10 = 149.00 : x
  2. Step 2: Convert to fraction form
    234.18/323.10 = 149.00/x
  3. Step 3: Cross multiply
    234.18x = 323.10 × 149.00
  4. Step 4: Simplify right side
    234.18x = 48,140.28
  5. Step 5: Solve for x
    x = 48,140.28/234.18
  6. Step 6: Final answer
    x = 205.57

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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.