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Finding the Fourth Proportional to 293.50, 404.96 and 175.42

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Solution

The fourth proportional to 293.50, 404.96 and 175.42 is: 242.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.50 : 404.96 = 175.42 : x
  2. Step 2: Convert to fraction form
    293.50/404.96 = 175.42/x
  3. Step 3: Cross multiply
    293.50x = 404.96 × 175.42
  4. Step 4: Simplify right side
    293.50x = 71,038.08
  5. Step 5: Solve for x
    x = 71,038.08/293.50
  6. Step 6: Final answer
    x = 242.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.