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Finding the Fourth Proportional to 312.14, 430.68 and 186.08

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Solution

The fourth proportional to 312.14, 430.68 and 186.08 is: 256.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.14 : 430.68 = 186.08 : x
  2. Step 2: Convert to fraction form
    312.14/430.68 = 186.08/x
  3. Step 3: Cross multiply
    312.14x = 430.68 × 186.08
  4. Step 4: Simplify right side
    312.14x = 80,140.93
  5. Step 5: Solve for x
    x = 80,140.93/312.14
  6. Step 6: Final answer
    x = 256.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.