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Finding the Fourth Proportional to 554.97, 832.32 and 165

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Solution

The fourth proportional to 554.97, 832.32 and 165 is: 247.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.97 : 832.32 = 165 : x
  2. Step 2: Convert to fraction form
    554.97/832.32 = 165/x
  3. Step 3: Cross multiply
    554.97x = 832.32 × 165
  4. Step 4: Simplify right side
    554.97x = 137,332.80
  5. Step 5: Solve for x
    x = 137,332.80/554.97
  6. Step 6: Final answer
    x = 247.46

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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.