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Finding the Fourth Proportional to 355.01, 532.91 and 192.80

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Solution

The fourth proportional to 355.01, 532.91 and 192.80 is: 289.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.01 : 532.91 = 192.80 : x
  2. Step 2: Convert to fraction form
    355.01/532.91 = 192.80/x
  3. Step 3: Cross multiply
    355.01x = 532.91 × 192.80
  4. Step 4: Simplify right side
    355.01x = 102,746.86
  5. Step 5: Solve for x
    x = 102,746.86/355.01
  6. Step 6: Final answer
    x = 289.42

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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.