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Finding the Fourth Proportional to 283.51, 390.88 and 230.86

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Solution

The fourth proportional to 283.51, 390.88 and 230.86 is: 318.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.51 : 390.88 = 230.86 : x
  2. Step 2: Convert to fraction form
    283.51/390.88 = 230.86/x
  3. Step 3: Cross multiply
    283.51x = 390.88 × 230.86
  4. Step 4: Simplify right side
    283.51x = 90,238.56
  5. Step 5: Solve for x
    x = 90,238.56/283.51
  6. Step 6: Final answer
    x = 318.29

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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.