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Finding the Fourth Proportional to 199.53, 275.35 and 112.20

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Solution

The fourth proportional to 199.53, 275.35 and 112.20 is: 154.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.53 : 275.35 = 112.20 : x
  2. Step 2: Convert to fraction form
    199.53/275.35 = 112.20/x
  3. Step 3: Cross multiply
    199.53x = 275.35 × 112.20
  4. Step 4: Simplify right side
    199.53x = 30,894.27
  5. Step 5: Solve for x
    x = 30,894.27/199.53
  6. Step 6: Final answer
    x = 154.84

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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.