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Finding the Fourth Proportional to 338.06, 466.50 and 190.70

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Solution

The fourth proportional to 338.06, 466.50 and 190.70 is: 263.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.06 : 466.50 = 190.70 : x
  2. Step 2: Convert to fraction form
    338.06/466.50 = 190.70/x
  3. Step 3: Cross multiply
    338.06x = 466.50 × 190.70
  4. Step 4: Simplify right side
    338.06x = 88,962.72
  5. Step 5: Solve for x
    x = 88,962.72/338.06
  6. Step 6: Final answer
    x = 263.16

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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.