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Finding the Fourth Proportional to 312.26, 430.77 and 187.70

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Solution

The fourth proportional to 312.26, 430.77 and 187.70 is: 258.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.26 : 430.77 = 187.70 : x
  2. Step 2: Convert to fraction form
    312.26/430.77 = 187.70/x
  3. Step 3: Cross multiply
    312.26x = 430.77 × 187.70
  4. Step 4: Simplify right side
    312.26x = 80,855.53
  5. Step 5: Solve for x
    x = 80,855.53/312.26
  6. Step 6: Final answer
    x = 258.94

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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.