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Finding the Fourth Proportional to 210.14, 315.24 and 107.49

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Solution

The fourth proportional to 210.14, 315.24 and 107.49 is: 161.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.14 : 315.24 = 107.49 : x
  2. Step 2: Convert to fraction form
    210.14/315.24 = 107.49/x
  3. Step 3: Cross multiply
    210.14x = 315.24 × 107.49
  4. Step 4: Simplify right side
    210.14x = 33,885.15
  5. Step 5: Solve for x
    x = 33,885.15/210.14
  6. Step 6: Final answer
    x = 161.25

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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.