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Finding the Fourth Proportional to 202.72, 303.75 and 100.06

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Solution

The fourth proportional to 202.72, 303.75 and 100.06 is: 149.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.72 : 303.75 = 100.06 : x
  2. Step 2: Convert to fraction form
    202.72/303.75 = 100.06/x
  3. Step 3: Cross multiply
    202.72x = 303.75 × 100.06
  4. Step 4: Simplify right side
    202.72x = 30,393.23
  5. Step 5: Solve for x
    x = 30,393.23/202.72
  6. Step 6: Final answer
    x = 149.93

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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.