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Finding the Fourth Proportional to 210.29, 315.49 and 73.34

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Solution

The fourth proportional to 210.29, 315.49 and 73.34 is: 110.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.29 : 315.49 = 73.34 : x
  2. Step 2: Convert to fraction form
    210.29/315.49 = 73.34/x
  3. Step 3: Cross multiply
    210.29x = 315.49 × 73.34
  4. Step 4: Simplify right side
    210.29x = 23,137.06
  5. Step 5: Solve for x
    x = 23,137.06/210.29
  6. Step 6: Final answer
    x = 110.02

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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.