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Finding the Fourth Proportional to 186.66, 280.14 and 78.47

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Solution

The fourth proportional to 186.66, 280.14 and 78.47 is: 117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.66 : 280.14 = 78.47 : x
  2. Step 2: Convert to fraction form
    186.66/280.14 = 78.47/x
  3. Step 3: Cross multiply
    186.66x = 280.14 × 78.47
  4. Step 4: Simplify right side
    186.66x = 21,981.19
  5. Step 5: Solve for x
    x = 21,981.19/186.66
  6. Step 6: Final answer
    x = 117.76

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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.