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Finding the Fourth Proportional to 309.51, 426.78 and 230.87

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Solution

The fourth proportional to 309.51, 426.78 and 230.87 is: 318.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.51 : 426.78 = 230.87 : x
  2. Step 2: Convert to fraction form
    309.51/426.78 = 230.87/x
  3. Step 3: Cross multiply
    309.51x = 426.78 × 230.87
  4. Step 4: Simplify right side
    309.51x = 98,531.77
  5. Step 5: Solve for x
    x = 98,531.77/309.51
  6. Step 6: Final answer
    x = 318.35

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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.