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Finding the Fourth Proportional to 306.94, 423.38 and 202.13

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Solution

The fourth proportional to 306.94, 423.38 and 202.13 is: 278.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.94 : 423.38 = 202.13 : x
  2. Step 2: Convert to fraction form
    306.94/423.38 = 202.13/x
  3. Step 3: Cross multiply
    306.94x = 423.38 × 202.13
  4. Step 4: Simplify right side
    306.94x = 85,574.67
  5. Step 5: Solve for x
    x = 85,574.67/306.94
  6. Step 6: Final answer
    x = 278.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.