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Finding the Fourth Proportional to 294.12, 405.81 and 176.09

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Solution

The fourth proportional to 294.12, 405.81 and 176.09 is: 242.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.12 : 405.81 = 176.09 : x
  2. Step 2: Convert to fraction form
    294.12/405.81 = 176.09/x
  3. Step 3: Cross multiply
    294.12x = 405.81 × 176.09
  4. Step 4: Simplify right side
    294.12x = 71,457.05
  5. Step 5: Solve for x
    x = 71,457.05/294.12
  6. Step 6: Final answer
    x = 242.95

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Why These Related Problems?

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