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Finding the Fourth Proportional to 400.16, 600.22 and 140.06

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Solution

The fourth proportional to 400.16, 600.22 and 140.06 is: 210.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.16 : 600.22 = 140.06 : x
  2. Step 2: Convert to fraction form
    400.16/600.22 = 140.06/x
  3. Step 3: Cross multiply
    400.16x = 600.22 × 140.06
  4. Step 4: Simplify right side
    400.16x = 84,066.81
  5. Step 5: Solve for x
    x = 84,066.81/400.16
  6. Step 6: Final answer
    x = 210.08

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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.