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Finding the Fourth Proportional to 230.02, 343.34 and 202.68

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Solution

The fourth proportional to 230.02, 343.34 and 202.68 is: 302.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.02 : 343.34 = 202.68 : x
  2. Step 2: Convert to fraction form
    230.02/343.34 = 202.68/x
  3. Step 3: Cross multiply
    230.02x = 343.34 × 202.68
  4. Step 4: Simplify right side
    230.02x = 69,588.15
  5. Step 5: Solve for x
    x = 69,588.15/230.02
  6. Step 6: Final answer
    x = 302.53

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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.