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Finding the Fourth Proportional to 312.49, 468.86 and 120.07

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Solution

The fourth proportional to 312.49, 468.86 and 120.07 is: 180.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.49 : 468.86 = 120.07 : x
  2. Step 2: Convert to fraction form
    312.49/468.86 = 120.07/x
  3. Step 3: Cross multiply
    312.49x = 468.86 × 120.07
  4. Step 4: Simplify right side
    312.49x = 56,296.02
  5. Step 5: Solve for x
    x = 56,296.02/312.49
  6. Step 6: Final answer
    x = 180.15

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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.