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Finding the Fourth Proportional to 384.24, 576.19 and 140.77

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Solution

The fourth proportional to 384.24, 576.19 and 140.77 is: 211.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.24 : 576.19 = 140.77 : x
  2. Step 2: Convert to fraction form
    384.24/576.19 = 140.77/x
  3. Step 3: Cross multiply
    384.24x = 576.19 × 140.77
  4. Step 4: Simplify right side
    384.24x = 81,106.68
  5. Step 5: Solve for x
    x = 81,106.68/384.24
  6. Step 6: Final answer
    x = 211.08

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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.