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Finding the Fourth Proportional to 556.21, 834.27 and 171.46

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Solution

The fourth proportional to 556.21, 834.27 and 171.46 is: 257.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.21 : 834.27 = 171.46 : x
  2. Step 2: Convert to fraction form
    556.21/834.27 = 171.46/x
  3. Step 3: Cross multiply
    556.21x = 834.27 × 171.46
  4. Step 4: Simplify right side
    556.21x = 143,043.93
  5. Step 5: Solve for x
    x = 143,043.93/556.21
  6. Step 6: Final answer
    x = 257.18

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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.