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Finding the Fourth Proportional to 554.82, 832.14 and 189.60

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Solution

The fourth proportional to 554.82, 832.14 and 189.60 is: 284.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.82 : 832.14 = 189.60 : x
  2. Step 2: Convert to fraction form
    554.82/832.14 = 189.60/x
  3. Step 3: Cross multiply
    554.82x = 832.14 × 189.60
  4. Step 4: Simplify right side
    554.82x = 157,773.74
  5. Step 5: Solve for x
    x = 157,773.74/554.82
  6. Step 6: Final answer
    x = 284.37

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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.