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Finding the Fourth Proportional to 230.42, 318.18 and 165.14

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Solution

The fourth proportional to 230.42, 318.18 and 165.14 is: 228.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.42 : 318.18 = 165.14 : x
  2. Step 2: Convert to fraction form
    230.42/318.18 = 165.14/x
  3. Step 3: Cross multiply
    230.42x = 318.18 × 165.14
  4. Step 4: Simplify right side
    230.42x = 52,544.25
  5. Step 5: Solve for x
    x = 52,544.25/230.42
  6. Step 6: Final answer
    x = 228.04

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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.