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Finding the Fourth Proportional to 186.10, 254.52 and 186.10

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Solution

The fourth proportional to 186.10, 254.52 and 186.10 is: 254.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.10 : 254.52 = 186.10 : x
  2. Step 2: Convert to fraction form
    186.10/254.52 = 186.10/x
  3. Step 3: Cross multiply
    186.10x = 254.52 × 186.10
  4. Step 4: Simplify right side
    186.10x = 47,366.17
  5. Step 5: Solve for x
    x = 47,366.17/186.10
  6. Step 6: Final answer
    x = 254.52

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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.