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Finding the Fourth Proportional to 338.68, 507.90 and 192.38

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Solution

The fourth proportional to 338.68, 507.90 and 192.38 is: 288.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.68 : 507.90 = 192.38 : x
  2. Step 2: Convert to fraction form
    338.68/507.90 = 192.38/x
  3. Step 3: Cross multiply
    338.68x = 507.90 × 192.38
  4. Step 4: Simplify right side
    338.68x = 97,707.98
  5. Step 5: Solve for x
    x = 97,707.98/338.68
  6. Step 6: Final answer
    x = 288.50

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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.