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Finding the Fourth Proportional to 203.23, 302.67 and 202.07

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Solution

The fourth proportional to 203.23, 302.67 and 202.07 is: 300.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.23 : 302.67 = 202.07 : x
  2. Step 2: Convert to fraction form
    203.23/302.67 = 202.07/x
  3. Step 3: Cross multiply
    203.23x = 302.67 × 202.07
  4. Step 4: Simplify right side
    203.23x = 61,160.53
  5. Step 5: Solve for x
    x = 61,160.53/203.23
  6. Step 6: Final answer
    x = 300.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.