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Finding the Fourth Proportional to 384.19, 575.97 and 140.56

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Solution

The fourth proportional to 384.19, 575.97 and 140.56 is: 210.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.19 : 575.97 = 140.56 : x
  2. Step 2: Convert to fraction form
    384.19/575.97 = 140.56/x
  3. Step 3: Cross multiply
    384.19x = 575.97 × 140.56
  4. Step 4: Simplify right side
    384.19x = 80,958.34
  5. Step 5: Solve for x
    x = 80,958.34/384.19
  6. Step 6: Final answer
    x = 210.72

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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.