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Finding the Fourth Proportional to 355.42, 533.17 and 172.66

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Solution

The fourth proportional to 355.42, 533.17 and 172.66 is: 259.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.42 : 533.17 = 172.66 : x
  2. Step 2: Convert to fraction form
    355.42/533.17 = 172.66/x
  3. Step 3: Cross multiply
    355.42x = 533.17 × 172.66
  4. Step 4: Simplify right side
    355.42x = 92,054.47
  5. Step 5: Solve for x
    x = 92,054.47/355.42
  6. Step 6: Final answer
    x = 259.01

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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.