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Finding the Fourth Proportional to 186.68, 256 and 177.32

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Solution

The fourth proportional to 186.68, 256 and 177.32 is: 243.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.68 : 256 = 177.32 : x
  2. Step 2: Convert to fraction form
    186.68/256 = 177.32/x
  3. Step 3: Cross multiply
    186.68x = 256 × 177.32
  4. Step 4: Simplify right side
    186.68x = 45,393.92
  5. Step 5: Solve for x
    x = 45,393.92/186.68
  6. Step 6: Final answer
    x = 243.16

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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.