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Finding the Fourth Proportional to 186.03, 278.88 and 117.59

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Solution

The fourth proportional to 186.03, 278.88 and 117.59 is: 176.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.03 : 278.88 = 117.59 : x
  2. Step 2: Convert to fraction form
    186.03/278.88 = 117.59/x
  3. Step 3: Cross multiply
    186.03x = 278.88 × 117.59
  4. Step 4: Simplify right side
    186.03x = 32,791.66
  5. Step 5: Solve for x
    x = 32,791.66/186.03
  6. Step 6: Final answer
    x = 176.27

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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.