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Finding the Fourth Proportional to 306.94, 460.26 and 133.60

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Solution

The fourth proportional to 306.94, 460.26 and 133.60 is: 200.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.94 : 460.26 = 133.60 : x
  2. Step 2: Convert to fraction form
    306.94/460.26 = 133.60/x
  3. Step 3: Cross multiply
    306.94x = 460.26 × 133.60
  4. Step 4: Simplify right side
    306.94x = 61,490.74
  5. Step 5: Solve for x
    x = 61,490.74/306.94
  6. Step 6: Final answer
    x = 200.33

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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.