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Finding the Fourth Proportional to 355.32, 532.98 and 111.80

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Solution

The fourth proportional to 355.32, 532.98 and 111.80 is: 167.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.32 : 532.98 = 111.80 : x
  2. Step 2: Convert to fraction form
    355.32/532.98 = 111.80/x
  3. Step 3: Cross multiply
    355.32x = 532.98 × 111.80
  4. Step 4: Simplify right side
    355.32x = 59,584.50
  5. Step 5: Solve for x
    x = 59,584.50/355.32
  6. Step 6: Final answer
    x = 167.69

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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.