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Finding the Fourth Proportional to 308.21, 462.61 and 146

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Solution

The fourth proportional to 308.21, 462.61 and 146 is: 219.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.21 : 462.61 = 146 : x
  2. Step 2: Convert to fraction form
    308.21/462.61 = 146/x
  3. Step 3: Cross multiply
    308.21x = 462.61 × 146
  4. Step 4: Simplify right side
    308.21x = 67,541.06
  5. Step 5: Solve for x
    x = 67,541.06/308.21
  6. Step 6: Final answer
    x = 219.14

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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.