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Finding the Fourth Proportional to 312.42, 468.63 and 120

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Solution

The fourth proportional to 312.42, 468.63 and 120 is: 180

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.42 : 468.63 = 120 : x
  2. Step 2: Convert to fraction form
    312.42/468.63 = 120/x
  3. Step 3: Cross multiply
    312.42x = 468.63 × 120
  4. Step 4: Simplify right side
    312.42x = 56,235.60
  5. Step 5: Solve for x
    x = 56,235.60/312.42
  6. Step 6: Final answer
    x = 180

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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.