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Finding the Fourth Proportional to 206.83, 310.40 and 146.02

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Solution

The fourth proportional to 206.83, 310.40 and 146.02 is: 219.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.83 : 310.40 = 146.02 : x
  2. Step 2: Convert to fraction form
    206.83/310.40 = 146.02/x
  3. Step 3: Cross multiply
    206.83x = 310.40 × 146.02
  4. Step 4: Simplify right side
    206.83x = 45,324.61
  5. Step 5: Solve for x
    x = 45,324.61/206.83
  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.