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Finding the Fourth Proportional to 186.60, 280.05 and 118.02

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Solution

The fourth proportional to 186.60, 280.05 and 118.02 is: 177.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.60 : 280.05 = 118.02 : x
  2. Step 2: Convert to fraction form
    186.60/280.05 = 118.02/x
  3. Step 3: Cross multiply
    186.60x = 280.05 × 118.02
  4. Step 4: Simplify right side
    186.60x = 33,051.50
  5. Step 5: Solve for x
    x = 33,051.50/186.60
  6. Step 6: Final answer
    x = 177.12

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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.