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Finding the Fourth Proportional to 193.18, 266.54 and 114.46

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Solution

The fourth proportional to 193.18, 266.54 and 114.46 is: 157.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.18 : 266.54 = 114.46 : x
  2. Step 2: Convert to fraction form
    193.18/266.54 = 114.46/x
  3. Step 3: Cross multiply
    193.18x = 266.54 × 114.46
  4. Step 4: Simplify right side
    193.18x = 30,507.26
  5. Step 5: Solve for x
    x = 30,507.26/193.18
  6. Step 6: Final answer
    x = 157.92

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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.