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Finding the Fourth Proportional to 384.24, 575.84 and 140.64

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Solution

The fourth proportional to 384.24, 575.84 and 140.64 is: 210.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.24 : 575.84 = 140.64 : x
  2. Step 2: Convert to fraction form
    384.24/575.84 = 140.64/x
  3. Step 3: Cross multiply
    384.24x = 575.84 × 140.64
  4. Step 4: Simplify right side
    384.24x = 80,986.14
  5. Step 5: Solve for x
    x = 80,986.14/384.24
  6. Step 6: Final answer
    x = 210.77

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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.