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Finding the Fourth Proportional to 312.38, 468.65 and 120.02

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Solution

The fourth proportional to 312.38, 468.65 and 120.02 is: 180.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.38 : 468.65 = 120.02 : x
  2. Step 2: Convert to fraction form
    312.38/468.65 = 120.02/x
  3. Step 3: Cross multiply
    312.38x = 468.65 × 120.02
  4. Step 4: Simplify right side
    312.38x = 56,247.37
  5. Step 5: Solve for x
    x = 56,247.37/312.38
  6. Step 6: Final answer
    x = 180.06

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Why These Related Problems?

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