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Finding the Fourth Proportional to 332.61, 499.47 and 205.17

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Solution

The fourth proportional to 332.61, 499.47 and 205.17 is: 308.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.61 : 499.47 = 205.17 : x
  2. Step 2: Convert to fraction form
    332.61/499.47 = 205.17/x
  3. Step 3: Cross multiply
    332.61x = 499.47 × 205.17
  4. Step 4: Simplify right side
    332.61x = 102,476.26
  5. Step 5: Solve for x
    x = 102,476.26/332.61
  6. Step 6: Final answer
    x = 308.10

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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.