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Finding the Fourth Proportional to 554.70, 832.11 and 189.75

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Solution

The fourth proportional to 554.70, 832.11 and 189.75 is: 284.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.70 : 832.11 = 189.75 : x
  2. Step 2: Convert to fraction form
    554.70/832.11 = 189.75/x
  3. Step 3: Cross multiply
    554.70x = 832.11 × 189.75
  4. Step 4: Simplify right side
    554.70x = 157,892.87
  5. Step 5: Solve for x
    x = 157,892.87/554.70
  6. Step 6: Final answer
    x = 284.65

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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.