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Finding the Fourth Proportional to 230.28, 317.87 and 183.75

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Solution

The fourth proportional to 230.28, 317.87 and 183.75 is: 253.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.28 : 317.87 = 183.75 : x
  2. Step 2: Convert to fraction form
    230.28/317.87 = 183.75/x
  3. Step 3: Cross multiply
    230.28x = 317.87 × 183.75
  4. Step 4: Simplify right side
    230.28x = 58,408.61
  5. Step 5: Solve for x
    x = 58,408.61/230.28
  6. Step 6: Final answer
    x = 253.64

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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.