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Finding the Fourth Proportional to 193.51, 267.14 and 146.91

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Solution

The fourth proportional to 193.51, 267.14 and 146.91 is: 202.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.51 : 267.14 = 146.91 : x
  2. Step 2: Convert to fraction form
    193.51/267.14 = 146.91/x
  3. Step 3: Cross multiply
    193.51x = 267.14 × 146.91
  4. Step 4: Simplify right side
    193.51x = 39,245.54
  5. Step 5: Solve for x
    x = 39,245.54/193.51
  6. Step 6: Final answer
    x = 202.81

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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.