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Finding the Fourth Proportional to 556.88, 835.31 and 172.13

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Solution

The fourth proportional to 556.88, 835.31 and 172.13 is: 258.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.88 : 835.31 = 172.13 : x
  2. Step 2: Convert to fraction form
    556.88/835.31 = 172.13/x
  3. Step 3: Cross multiply
    556.88x = 835.31 × 172.13
  4. Step 4: Simplify right side
    556.88x = 143,778.16
  5. Step 5: Solve for x
    x = 143,778.16/556.88
  6. Step 6: Final answer
    x = 258.19

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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.