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Finding the Fourth Proportional to 230.46, 318.06 and 178.08

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Solution

The fourth proportional to 230.46, 318.06 and 178.08 is: 245.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.46 : 318.06 = 178.08 : x
  2. Step 2: Convert to fraction form
    230.46/318.06 = 178.08/x
  3. Step 3: Cross multiply
    230.46x = 318.06 × 178.08
  4. Step 4: Simplify right side
    230.46x = 56,640.12
  5. Step 5: Solve for x
    x = 56,640.12/230.46
  6. Step 6: Final answer
    x = 245.77

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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.