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Finding the Fourth Proportional to 259.05, 388.02 and 167.34

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Solution

The fourth proportional to 259.05, 388.02 and 167.34 is: 250.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.05 : 388.02 = 167.34 : x
  2. Step 2: Convert to fraction form
    259.05/388.02 = 167.34/x
  3. Step 3: Cross multiply
    259.05x = 388.02 × 167.34
  4. Step 4: Simplify right side
    259.05x = 64,931.27
  5. Step 5: Solve for x
    x = 64,931.27/259.05
  6. Step 6: Final answer
    x = 250.65

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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.