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Finding the Fourth Proportional to 338.21, 507.47 and 193.93

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Solution

The fourth proportional to 338.21, 507.47 and 193.93 is: 290.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.21 : 507.47 = 193.93 : x
  2. Step 2: Convert to fraction form
    338.21/507.47 = 193.93/x
  3. Step 3: Cross multiply
    338.21x = 507.47 × 193.93
  4. Step 4: Simplify right side
    338.21x = 98,411.42
  5. Step 5: Solve for x
    x = 98,411.42/338.21
  6. Step 6: Final answer
    x = 290.98

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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.