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Finding the Fourth Proportional to 600.37, 900.59 and 161.60

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Solution

The fourth proportional to 600.37, 900.59 and 161.60 is: 242.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.37 : 900.59 = 161.60 : x
  2. Step 2: Convert to fraction form
    600.37/900.59 = 161.60/x
  3. Step 3: Cross multiply
    600.37x = 900.59 × 161.60
  4. Step 4: Simplify right side
    600.37x = 145,530.03
  5. Step 5: Solve for x
    x = 145,530.03/600.37
  6. Step 6: Final answer
    x = 242.40

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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.