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Finding the Fourth Proportional to 255.70, 383.41 and 140.14

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Solution

The fourth proportional to 255.70, 383.41 and 140.14 is: 210.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.70 : 383.41 = 140.14 : x
  2. Step 2: Convert to fraction form
    255.70/383.41 = 140.14/x
  3. Step 3: Cross multiply
    255.70x = 383.41 × 140.14
  4. Step 4: Simplify right side
    255.70x = 53,731.08
  5. Step 5: Solve for x
    x = 53,731.08/255.70
  6. Step 6: Final answer
    x = 210.13

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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.