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Finding the Fourth Proportional to 312.56, 468.78 and 120.14

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Solution

The fourth proportional to 312.56, 468.78 and 120.14 is: 180.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.56 : 468.78 = 120.14 : x
  2. Step 2: Convert to fraction form
    312.56/468.78 = 120.14/x
  3. Step 3: Cross multiply
    312.56x = 468.78 × 120.14
  4. Step 4: Simplify right side
    312.56x = 56,319.23
  5. Step 5: Solve for x
    x = 56,319.23/312.56
  6. Step 6: Final answer
    x = 180.19

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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.