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Finding the Fourth Proportional to 247.14, 370.53 and 186.12

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Solution

The fourth proportional to 247.14, 370.53 and 186.12 is: 279.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.14 : 370.53 = 186.12 : x
  2. Step 2: Convert to fraction form
    247.14/370.53 = 186.12/x
  3. Step 3: Cross multiply
    247.14x = 370.53 × 186.12
  4. Step 4: Simplify right side
    247.14x = 68,963.04
  5. Step 5: Solve for x
    x = 68,963.04/247.14
  6. Step 6: Final answer
    x = 279.04

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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.