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Finding the Fourth Proportional to 312.45, 468.59 and 120.03

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Solution

The fourth proportional to 312.45, 468.59 and 120.03 is: 180.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.45 : 468.59 = 120.03 : x
  2. Step 2: Convert to fraction form
    312.45/468.59 = 120.03/x
  3. Step 3: Cross multiply
    312.45x = 468.59 × 120.03
  4. Step 4: Simplify right side
    312.45x = 56,244.26
  5. Step 5: Solve for x
    x = 56,244.26/312.45
  6. Step 6: Final answer
    x = 180.01

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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.