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Finding the Fourth Proportional to 555.26, 833.12 and 189.85

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Solution

The fourth proportional to 555.26, 833.12 and 189.85 is: 284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.26 : 833.12 = 189.85 : x
  2. Step 2: Convert to fraction form
    555.26/833.12 = 189.85/x
  3. Step 3: Cross multiply
    555.26x = 833.12 × 189.85
  4. Step 4: Simplify right side
    555.26x = 158,167.83
  5. Step 5: Solve for x
    x = 158,167.83/555.26
  6. Step 6: Final answer
    x = 284.85

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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.