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Finding the Fourth Proportional to 199.51, 275.34 and 112.16

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Solution

The fourth proportional to 199.51, 275.34 and 112.16 is: 154.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.51 : 275.34 = 112.16 : x
  2. Step 2: Convert to fraction form
    199.51/275.34 = 112.16/x
  3. Step 3: Cross multiply
    199.51x = 275.34 × 112.16
  4. Step 4: Simplify right side
    199.51x = 30,883.24
  5. Step 5: Solve for x
    x = 30,883.24/199.51
  6. Step 6: Final answer
    x = 154.80

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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.