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Finding the Fourth Proportional to 230.78, 318.42 and 153.14

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Solution

The fourth proportional to 230.78, 318.42 and 153.14 is: 211.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.78 : 318.42 = 153.14 : x
  2. Step 2: Convert to fraction form
    230.78/318.42 = 153.14/x
  3. Step 3: Cross multiply
    230.78x = 318.42 × 153.14
  4. Step 4: Simplify right side
    230.78x = 48,762.84
  5. Step 5: Solve for x
    x = 48,762.84/230.78
  6. Step 6: Final answer
    x = 211.30

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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.