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Finding the Fourth Proportional to 355.42, 533.13 and 193.06

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Solution

The fourth proportional to 355.42, 533.13 and 193.06 is: 289.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.42 : 533.13 = 193.06 : x
  2. Step 2: Convert to fraction form
    355.42/533.13 = 193.06/x
  3. Step 3: Cross multiply
    355.42x = 533.13 × 193.06
  4. Step 4: Simplify right side
    355.42x = 102,926.08
  5. Step 5: Solve for x
    x = 102,926.08/355.42
  6. Step 6: Final answer
    x = 289.59

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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.