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Finding the Fourth Proportional to 556.83, 835.09 and 166.81

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Solution

The fourth proportional to 556.83, 835.09 and 166.81 is: 250.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.83 : 835.09 = 166.81 : x
  2. Step 2: Convert to fraction form
    556.83/835.09 = 166.81/x
  3. Step 3: Cross multiply
    556.83x = 835.09 × 166.81
  4. Step 4: Simplify right side
    556.83x = 139,301.36
  5. Step 5: Solve for x
    x = 139,301.36/556.83
  6. Step 6: Final answer
    x = 250.17

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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.