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Finding the Fourth Proportional to 0.34, 0.50 and 0.19

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Solution

The fourth proportional to 0.34, 0.50 and 0.19 is: 0.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.34 : 0.50 = 0.19 : x
  2. Step 2: Convert to fraction form
    0.34/0.50 = 0.19/x
  3. Step 3: Cross multiply
    0.34x = 0.50 × 0.19
  4. Step 4: Simplify right side
    0.34x = 0.09
  5. Step 5: Solve for x
    x = 0.09/0.34
  6. Step 6: Final answer
    x = 0.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.