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Finding the Fourth Proportional to 356.68, 535.38 and 174.16

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Solution

The fourth proportional to 356.68, 535.38 and 174.16 is: 261.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.68 : 535.38 = 174.16 : x
  2. Step 2: Convert to fraction form
    356.68/535.38 = 174.16/x
  3. Step 3: Cross multiply
    356.68x = 535.38 × 174.16
  4. Step 4: Simplify right side
    356.68x = 93,241.78
  5. Step 5: Solve for x
    x = 93,241.78/356.68
  6. Step 6: Final answer
    x = 261.42

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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.