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Finding the Fourth Proportional to 291.68, 436.94 and 181.72

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Solution

The fourth proportional to 291.68, 436.94 and 181.72 is: 272.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.68 : 436.94 = 181.72 : x
  2. Step 2: Convert to fraction form
    291.68/436.94 = 181.72/x
  3. Step 3: Cross multiply
    291.68x = 436.94 × 181.72
  4. Step 4: Simplify right side
    291.68x = 79,398.74
  5. Step 5: Solve for x
    x = 79,398.74/291.68
  6. Step 6: Final answer
    x = 272.22

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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.