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Finding the Fourth Proportional to 146.07, 202.64 and 144.08

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Solution

The fourth proportional to 146.07, 202.64 and 144.08 is: 199.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.07 : 202.64 = 144.08 : x
  2. Step 2: Convert to fraction form
    146.07/202.64 = 144.08/x
  3. Step 3: Cross multiply
    146.07x = 202.64 × 144.08
  4. Step 4: Simplify right side
    146.07x = 29,195.40
  5. Step 5: Solve for x
    x = 29,195.40/146.07
  6. Step 6: Final answer
    x = 199.87

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.