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Finding the Fourth Proportional to 556.79, 835.08 and 166.78

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Solution

The fourth proportional to 556.79, 835.08 and 166.78 is: 250.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.79 : 835.08 = 166.78 : x
  2. Step 2: Convert to fraction form
    556.79/835.08 = 166.78/x
  3. Step 3: Cross multiply
    556.79x = 835.08 × 166.78
  4. Step 4: Simplify right side
    556.79x = 139,275.06
  5. Step 5: Solve for x
    x = 139,275.06/556.79
  6. Step 6: Final answer
    x = 250.14

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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.