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Finding the Fourth Proportional to 186.53, 279.54 and 109.53

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Solution

The fourth proportional to 186.53, 279.54 and 109.53 is: 164.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.53 : 279.54 = 109.53 : x
  2. Step 2: Convert to fraction form
    186.53/279.54 = 109.53/x
  3. Step 3: Cross multiply
    186.53x = 279.54 × 109.53
  4. Step 4: Simplify right side
    186.53x = 30,618.02
  5. Step 5: Solve for x
    x = 30,618.02/186.53
  6. Step 6: Final answer
    x = 164.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.