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Finding the Fourth Proportional to 199.84, 275.72 and 122.16

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Solution

The fourth proportional to 199.84, 275.72 and 122.16 is: 168.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.84 : 275.72 = 122.16 : x
  2. Step 2: Convert to fraction form
    199.84/275.72 = 122.16/x
  3. Step 3: Cross multiply
    199.84x = 275.72 × 122.16
  4. Step 4: Simplify right side
    199.84x = 33,681.96
  5. Step 5: Solve for x
    x = 33,681.96/199.84
  6. Step 6: Final answer
    x = 168.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.