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Finding the Fourth Proportional to 312.49, 468.24 and 138.93

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Solution

The fourth proportional to 312.49, 468.24 and 138.93 is: 208.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.49 : 468.24 = 138.93 : x
  2. Step 2: Convert to fraction form
    312.49/468.24 = 138.93/x
  3. Step 3: Cross multiply
    312.49x = 468.24 × 138.93
  4. Step 4: Simplify right side
    312.49x = 65,052.58
  5. Step 5: Solve for x
    x = 65,052.58/312.49
  6. Step 6: Final answer
    x = 208.17

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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.