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Finding the Fourth Proportional to 356.30, 534.57 and 193.79

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Solution

The fourth proportional to 356.30, 534.57 and 193.79 is: 290.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.30 : 534.57 = 193.79 : x
  2. Step 2: Convert to fraction form
    356.30/534.57 = 193.79/x
  3. Step 3: Cross multiply
    356.30x = 534.57 × 193.79
  4. Step 4: Simplify right side
    356.30x = 103,594.93
  5. Step 5: Solve for x
    x = 103,594.93/356.30
  6. Step 6: Final answer
    x = 290.75

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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.