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Finding the Fourth Proportional to 234.59, 351.18 and 177.05

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Solution

The fourth proportional to 234.59, 351.18 and 177.05 is: 265.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.59 : 351.18 = 177.05 : x
  2. Step 2: Convert to fraction form
    234.59/351.18 = 177.05/x
  3. Step 3: Cross multiply
    234.59x = 351.18 × 177.05
  4. Step 4: Simplify right side
    234.59x = 62,174.66
  5. Step 5: Solve for x
    x = 62,174.66/234.59
  6. Step 6: Final answer
    x = 265.04

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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.