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Finding the Fourth Proportional to 337.24, 505.25 and 192.66

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Solution

The fourth proportional to 337.24, 505.25 and 192.66 is: 288.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.24 : 505.25 = 192.66 : x
  2. Step 2: Convert to fraction form
    337.24/505.25 = 192.66/x
  3. Step 3: Cross multiply
    337.24x = 505.25 × 192.66
  4. Step 4: Simplify right side
    337.24x = 97,339.33
  5. Step 5: Solve for x
    x = 97,339.33/337.24
  6. Step 6: Final answer
    x = 288.63

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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.