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Finding the Fourth Proportional to 312.51, 468.37 and 149.86

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Solution

The fourth proportional to 312.51, 468.37 and 149.86 is: 224.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.51 : 468.37 = 149.86 : x
  2. Step 2: Convert to fraction form
    312.51/468.37 = 149.86/x
  3. Step 3: Cross multiply
    312.51x = 468.37 × 149.86
  4. Step 4: Simplify right side
    312.51x = 70,189.18
  5. Step 5: Solve for x
    x = 70,189.18/312.51
  6. Step 6: Final answer
    x = 224.60

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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.