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Finding the Fourth Proportional to 210.77, 315.98 and 73.82

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Solution

The fourth proportional to 210.77, 315.98 and 73.82 is: 110.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.77 : 315.98 = 73.82 : x
  2. Step 2: Convert to fraction form
    210.77/315.98 = 73.82/x
  3. Step 3: Cross multiply
    210.77x = 315.98 × 73.82
  4. Step 4: Simplify right side
    210.77x = 23,323.69
  5. Step 5: Solve for x
    x = 23,323.69/210.77
  6. Step 6: Final answer
    x = 110.66

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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.