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Finding the Fourth Proportional to 554.81, 832.28 and 164.84

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Solution

The fourth proportional to 554.81, 832.28 and 164.84 is: 247.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.81 : 832.28 = 164.84 : x
  2. Step 2: Convert to fraction form
    554.81/832.28 = 164.84/x
  3. Step 3: Cross multiply
    554.81x = 832.28 × 164.84
  4. Step 4: Simplify right side
    554.81x = 137,188.05
  5. Step 5: Solve for x
    x = 137,188.05/554.81
  6. Step 6: Final answer
    x = 247.27

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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.