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Finding the Fourth Proportional to 199.96, 275.95 and 112.63

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Solution

The fourth proportional to 199.96, 275.95 and 112.63 is: 155.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.96 : 275.95 = 112.63 : x
  2. Step 2: Convert to fraction form
    199.96/275.95 = 112.63/x
  3. Step 3: Cross multiply
    199.96x = 275.95 × 112.63
  4. Step 4: Simplify right side
    199.96x = 31,080.25
  5. Step 5: Solve for x
    x = 31,080.25/199.96
  6. Step 6: Final answer
    x = 155.43

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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.