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Finding the Fourth Proportional to 230.46, 346.02 and 144.16

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Solution

The fourth proportional to 230.46, 346.02 and 144.16 is: 216.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.46 : 346.02 = 144.16 : x
  2. Step 2: Convert to fraction form
    230.46/346.02 = 144.16/x
  3. Step 3: Cross multiply
    230.46x = 346.02 × 144.16
  4. Step 4: Simplify right side
    230.46x = 49,882.24
  5. Step 5: Solve for x
    x = 49,882.24/230.46
  6. Step 6: Final answer
    x = 216.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.