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Finding the Fourth Proportional to 199.54, 299.28 and 118.31

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Solution

The fourth proportional to 199.54, 299.28 and 118.31 is: 177.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.54 : 299.28 = 118.31 : x
  2. Step 2: Convert to fraction form
    199.54/299.28 = 118.31/x
  3. Step 3: Cross multiply
    199.54x = 299.28 × 118.31
  4. Step 4: Simplify right side
    199.54x = 35,407.82
  5. Step 5: Solve for x
    x = 35,407.82/199.54
  6. Step 6: Final answer
    x = 177.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.