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Finding the Fourth Proportional to 555.05, 832.41 and 189.75

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Solution

The fourth proportional to 555.05, 832.41 and 189.75 is: 284.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.05 : 832.41 = 189.75 : x
  2. Step 2: Convert to fraction form
    555.05/832.41 = 189.75/x
  3. Step 3: Cross multiply
    555.05x = 832.41 × 189.75
  4. Step 4: Simplify right side
    555.05x = 157,949.80
  5. Step 5: Solve for x
    x = 157,949.80/555.05
  6. Step 6: Final answer
    x = 284.57

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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.