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Finding the Fourth Proportional to 202.36, 304.60 and 183.50

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Solution

The fourth proportional to 202.36, 304.60 and 183.50 is: 276.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.36 : 304.60 = 183.50 : x
  2. Step 2: Convert to fraction form
    202.36/304.60 = 183.50/x
  3. Step 3: Cross multiply
    202.36x = 304.60 × 183.50
  4. Step 4: Simplify right side
    202.36x = 55,894.10
  5. Step 5: Solve for x
    x = 55,894.10/202.36
  6. Step 6: Final answer
    x = 276.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.