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Finding the Fourth Proportional to 230.72, 318.82 and 165.12

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Solution

The fourth proportional to 230.72, 318.82 and 165.12 is: 228.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.72 : 318.82 = 165.12 : x
  2. Step 2: Convert to fraction form
    230.72/318.82 = 165.12/x
  3. Step 3: Cross multiply
    230.72x = 318.82 × 165.12
  4. Step 4: Simplify right side
    230.72x = 52,643.56
  5. Step 5: Solve for x
    x = 52,643.56/230.72
  6. Step 6: Final answer
    x = 228.17

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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.