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Finding the Fourth Proportional to 459.26, 688.93 and 166.83

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Solution

The fourth proportional to 459.26, 688.93 and 166.83 is: 250.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.26 : 688.93 = 166.83 : x
  2. Step 2: Convert to fraction form
    459.26/688.93 = 166.83/x
  3. Step 3: Cross multiply
    459.26x = 688.93 × 166.83
  4. Step 4: Simplify right side
    459.26x = 114,936.36
  5. Step 5: Solve for x
    x = 114,936.36/459.26
  6. Step 6: Final answer
    x = 250.27

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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.