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Finding the Fourth Proportional to 312.10, 468.14 and 149.80

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Solution

The fourth proportional to 312.10, 468.14 and 149.80 is: 224.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.10 : 468.14 = 149.80 : x
  2. Step 2: Convert to fraction form
    312.10/468.14 = 149.80/x
  3. Step 3: Cross multiply
    312.10x = 468.14 × 149.80
  4. Step 4: Simplify right side
    312.10x = 70,127.37
  5. Step 5: Solve for x
    x = 70,127.37/312.10
  6. Step 6: Final answer
    x = 224.70

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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.