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Finding the Fourth Proportional to 600.04, 900.14 and 167.24

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Solution

The fourth proportional to 600.04, 900.14 and 167.24 is: 250.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.04 : 900.14 = 167.24 : x
  2. Step 2: Convert to fraction form
    600.04/900.14 = 167.24/x
  3. Step 3: Cross multiply
    600.04x = 900.14 × 167.24
  4. Step 4: Simplify right side
    600.04x = 150,539.41
  5. Step 5: Solve for x
    x = 150,539.41/600.04
  6. Step 6: Final answer
    x = 250.88

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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.