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Finding the Fourth Proportional to 459.55, 689.23 and 167.05

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Solution

The fourth proportional to 459.55, 689.23 and 167.05 is: 250.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.55 : 689.23 = 167.05 : x
  2. Step 2: Convert to fraction form
    459.55/689.23 = 167.05/x
  3. Step 3: Cross multiply
    459.55x = 689.23 × 167.05
  4. Step 4: Simplify right side
    459.55x = 115,135.87
  5. Step 5: Solve for x
    x = 115,135.87/459.55
  6. Step 6: Final answer
    x = 250.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.