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Finding the Fourth Proportional to 294.96, 441.80 and 172.84

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Solution

The fourth proportional to 294.96, 441.80 and 172.84 is: 258.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.96 : 441.80 = 172.84 : x
  2. Step 2: Convert to fraction form
    294.96/441.80 = 172.84/x
  3. Step 3: Cross multiply
    294.96x = 441.80 × 172.84
  4. Step 4: Simplify right side
    294.96x = 76,360.71
  5. Step 5: Solve for x
    x = 76,360.71/294.96
  6. Step 6: Final answer
    x = 258.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.