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Finding the Fourth Proportional to 355.35, 532.71 and 172.71

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Solution

The fourth proportional to 355.35, 532.71 and 172.71 is: 258.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.35 : 532.71 = 172.71 : x
  2. Step 2: Convert to fraction form
    355.35/532.71 = 172.71/x
  3. Step 3: Cross multiply
    355.35x = 532.71 × 172.71
  4. Step 4: Simplify right side
    355.35x = 92,004.34
  5. Step 5: Solve for x
    x = 92,004.34/355.35
  6. Step 6: Final answer
    x = 258.91

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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.