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Finding the Fourth Proportional to 186.12, 277.88 and 175.20

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Solution

The fourth proportional to 186.12, 277.88 and 175.20 is: 261.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.12 : 277.88 = 175.20 : x
  2. Step 2: Convert to fraction form
    186.12/277.88 = 175.20/x
  3. Step 3: Cross multiply
    186.12x = 277.88 × 175.20
  4. Step 4: Simplify right side
    186.12x = 48,684.58
  5. Step 5: Solve for x
    x = 48,684.58/186.12
  6. Step 6: Final answer
    x = 261.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.