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Finding the Fourth Proportional to 383.56, 575.42 and 140.10

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Solution

The fourth proportional to 383.56, 575.42 and 140.10 is: 210.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.56 : 575.42 = 140.10 : x
  2. Step 2: Convert to fraction form
    383.56/575.42 = 140.10/x
  3. Step 3: Cross multiply
    383.56x = 575.42 × 140.10
  4. Step 4: Simplify right side
    383.56x = 80,616.34
  5. Step 5: Solve for x
    x = 80,616.34/383.56
  6. Step 6: Final answer
    x = 210.18

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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.