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Finding the Fourth Proportional to 294.84, 406.84 and 176.82

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Solution

The fourth proportional to 294.84, 406.84 and 176.82 is: 243.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.84 : 406.84 = 176.82 : x
  2. Step 2: Convert to fraction form
    294.84/406.84 = 176.82/x
  3. Step 3: Cross multiply
    294.84x = 406.84 × 176.82
  4. Step 4: Simplify right side
    294.84x = 71,937.45
  5. Step 5: Solve for x
    x = 71,937.45/294.84
  6. Step 6: Final answer
    x = 243.99

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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.