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Finding the Fourth Proportional to 186.16, 256.86 and 130.78

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Solution

The fourth proportional to 186.16, 256.86 and 130.78 is: 180.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.16 : 256.86 = 130.78 : x
  2. Step 2: Convert to fraction form
    186.16/256.86 = 130.78/x
  3. Step 3: Cross multiply
    186.16x = 256.86 × 130.78
  4. Step 4: Simplify right side
    186.16x = 33,592.15
  5. Step 5: Solve for x
    x = 33,592.15/186.16
  6. Step 6: Final answer
    x = 180.45

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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.