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Finding the Fourth Proportional to 210.25, 315.32 and 73.27

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Solution

The fourth proportional to 210.25, 315.32 and 73.27 is: 109.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.25 : 315.32 = 73.27 : x
  2. Step 2: Convert to fraction form
    210.25/315.32 = 73.27/x
  3. Step 3: Cross multiply
    210.25x = 315.32 × 73.27
  4. Step 4: Simplify right side
    210.25x = 23,103.52
  5. Step 5: Solve for x
    x = 23,103.52/210.25
  6. Step 6: Final answer
    x = 109.89

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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.