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Finding the Fourth Proportional to 199.42, 275.01 and 137.14

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Solution

The fourth proportional to 199.42, 275.01 and 137.14 is: 189.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.42 : 275.01 = 137.14 : x
  2. Step 2: Convert to fraction form
    199.42/275.01 = 137.14/x
  3. Step 3: Cross multiply
    199.42x = 275.01 × 137.14
  4. Step 4: Simplify right side
    199.42x = 37,714.87
  5. Step 5: Solve for x
    x = 37,714.87/199.42
  6. Step 6: Final answer
    x = 189.12

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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.