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Finding the Fourth Proportional to 210.20, 315.28 and 73.24

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Solution

The fourth proportional to 210.20, 315.28 and 73.24 is: 109.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.20 : 315.28 = 73.24 : x
  2. Step 2: Convert to fraction form
    210.20/315.28 = 73.24/x
  3. Step 3: Cross multiply
    210.20x = 315.28 × 73.24
  4. Step 4: Simplify right side
    210.20x = 23,091.11
  5. Step 5: Solve for x
    x = 23,091.11/210.20
  6. Step 6: Final answer
    x = 109.85

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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.