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Finding the Fourth Proportional to 356.84, 535.72 and 194.64

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Solution

The fourth proportional to 356.84, 535.72 and 194.64 is: 292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.84 : 535.72 = 194.64 : x
  2. Step 2: Convert to fraction form
    356.84/535.72 = 194.64/x
  3. Step 3: Cross multiply
    356.84x = 535.72 × 194.64
  4. Step 4: Simplify right side
    356.84x = 104,272.54
  5. Step 5: Solve for x
    x = 104,272.54/356.84
  6. Step 6: Final answer
    x = 292.21

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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.