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Finding the Fourth Proportional to 384.03, 575.64 and 140.40

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Solution

The fourth proportional to 384.03, 575.64 and 140.40 is: 210.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.03 : 575.64 = 140.40 : x
  2. Step 2: Convert to fraction form
    384.03/575.64 = 140.40/x
  3. Step 3: Cross multiply
    384.03x = 575.64 × 140.40
  4. Step 4: Simplify right side
    384.03x = 80,819.86
  5. Step 5: Solve for x
    x = 80,819.86/384.03
  6. Step 6: Final answer
    x = 210.45

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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.