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Finding the Fourth Proportional to 357.38, 535.96 and 181.76

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Solution

The fourth proportional to 357.38, 535.96 and 181.76 is: 272.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.38 : 535.96 = 181.76 : x
  2. Step 2: Convert to fraction form
    357.38/535.96 = 181.76/x
  3. Step 3: Cross multiply
    357.38x = 535.96 × 181.76
  4. Step 4: Simplify right side
    357.38x = 97,416.09
  5. Step 5: Solve for x
    x = 97,416.09/357.38
  6. Step 6: Final answer
    x = 272.58

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Why These Related Problems?

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