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Finding the Fourth Proportional to 202.74, 304.12 and 122.10

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Solution

The fourth proportional to 202.74, 304.12 and 122.10 is: 183.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.74 : 304.12 = 122.10 : x
  2. Step 2: Convert to fraction form
    202.74/304.12 = 122.10/x
  3. Step 3: Cross multiply
    202.74x = 304.12 × 122.10
  4. Step 4: Simplify right side
    202.74x = 37,133.05
  5. Step 5: Solve for x
    x = 37,133.05/202.74
  6. Step 6: Final answer
    x = 183.16

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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.