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Finding the Fourth Proportional to 193.81, 267.23 and 147.07

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Solution

The fourth proportional to 193.81, 267.23 and 147.07 is: 202.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.81 : 267.23 = 147.07 : x
  2. Step 2: Convert to fraction form
    193.81/267.23 = 147.07/x
  3. Step 3: Cross multiply
    193.81x = 267.23 × 147.07
  4. Step 4: Simplify right side
    193.81x = 39,300.71
  5. Step 5: Solve for x
    x = 39,300.71/193.81
  6. Step 6: Final answer
    x = 202.78

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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.