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Finding the Fourth Proportional to 338.77, 508.16 and 194.50

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Solution

The fourth proportional to 338.77, 508.16 and 194.50 is: 291.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.77 : 508.16 = 194.50 : x
  2. Step 2: Convert to fraction form
    338.77/508.16 = 194.50/x
  3. Step 3: Cross multiply
    338.77x = 508.16 × 194.50
  4. Step 4: Simplify right side
    338.77x = 98,837.12
  5. Step 5: Solve for x
    x = 98,837.12/338.77
  6. Step 6: Final answer
    x = 291.75

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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.