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Finding the Fourth Proportional to 400.07, 600 and 140.06

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Solution

The fourth proportional to 400.07, 600 and 140.06 is: 210.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.07 : 600 = 140.06 : x
  2. Step 2: Convert to fraction form
    400.07/600 = 140.06/x
  3. Step 3: Cross multiply
    400.07x = 600 × 140.06
  4. Step 4: Simplify right side
    400.07x = 84,034.50
  5. Step 5: Solve for x
    x = 84,034.50/400.07
  6. Step 6: Final answer
    x = 210.05

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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.