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Finding the Fourth Proportional to 554.95, 832.35 and 189.73

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Solution

The fourth proportional to 554.95, 832.35 and 189.73 is: 284.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.95 : 832.35 = 189.73 : x
  2. Step 2: Convert to fraction form
    554.95/832.35 = 189.73/x
  3. Step 3: Cross multiply
    554.95x = 832.35 × 189.73
  4. Step 4: Simplify right side
    554.95x = 157,917.60
  5. Step 5: Solve for x
    x = 157,917.60/554.95
  6. Step 6: Final answer
    x = 284.56

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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.