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Finding the Fourth Proportional to 356.39, 534.75 and 193.88

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Solution

The fourth proportional to 356.39, 534.75 and 193.88 is: 290.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.39 : 534.75 = 193.88 : x
  2. Step 2: Convert to fraction form
    356.39/534.75 = 193.88/x
  3. Step 3: Cross multiply
    356.39x = 534.75 × 193.88
  4. Step 4: Simplify right side
    356.39x = 103,677.33
  5. Step 5: Solve for x
    x = 103,677.33/356.39
  6. Step 6: Final answer
    x = 290.91

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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.