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Finding the Fourth Proportional to 293.16, 404.50 and 176.76

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Solution

The fourth proportional to 293.16, 404.50 and 176.76 is: 243.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.16 : 404.50 = 176.76 : x
  2. Step 2: Convert to fraction form
    293.16/404.50 = 176.76/x
  3. Step 3: Cross multiply
    293.16x = 404.50 × 176.76
  4. Step 4: Simplify right side
    293.16x = 71,499.42
  5. Step 5: Solve for x
    x = 71,499.42/293.16
  6. Step 6: Final answer
    x = 243.89

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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.