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Finding the Fourth Proportional to 193.23, 265.64 and 186.75

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Solution

The fourth proportional to 193.23, 265.64 and 186.75 is: 256.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.23 : 265.64 = 186.75 : x
  2. Step 2: Convert to fraction form
    193.23/265.64 = 186.75/x
  3. Step 3: Cross multiply
    193.23x = 265.64 × 186.75
  4. Step 4: Simplify right side
    193.23x = 49,607.34
  5. Step 5: Solve for x
    x = 49,607.34/193.23
  6. Step 6: Final answer
    x = 256.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.