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Finding the Fourth Proportional to 554.82, 832.06 and 189.60

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Solution

The fourth proportional to 554.82, 832.06 and 189.60 is: 284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.82 : 832.06 = 189.60 : x
  2. Step 2: Convert to fraction form
    554.82/832.06 = 189.60/x
  3. Step 3: Cross multiply
    554.82x = 832.06 × 189.60
  4. Step 4: Simplify right side
    554.82x = 157,758.58
  5. Step 5: Solve for x
    x = 157,758.58/554.82
  6. Step 6: Final answer
    x = 284.34

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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.