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Finding the Fourth Proportional to 356.99, 534.72 and 194.33

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Solution

The fourth proportional to 356.99, 534.72 and 194.33 is: 291.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.99 : 534.72 = 194.33 : x
  2. Step 2: Convert to fraction form
    356.99/534.72 = 194.33/x
  3. Step 3: Cross multiply
    356.99x = 534.72 × 194.33
  4. Step 4: Simplify right side
    356.99x = 103,912.14
  5. Step 5: Solve for x
    x = 103,912.14/356.99
  6. Step 6: Final answer
    x = 291.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.