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Finding the Fourth Proportional to 291.83, 437.61 and 118.43

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Solution

The fourth proportional to 291.83, 437.61 and 118.43 is: 177.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.83 : 437.61 = 118.43 : x
  2. Step 2: Convert to fraction form
    291.83/437.61 = 118.43/x
  3. Step 3: Cross multiply
    291.83x = 437.61 × 118.43
  4. Step 4: Simplify right side
    291.83x = 51,826.15
  5. Step 5: Solve for x
    x = 51,826.15/291.83
  6. Step 6: Final answer
    x = 177.59

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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.