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Finding the Fourth Proportional to 291.50, 437.11 and 106.40

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Solution

The fourth proportional to 291.50, 437.11 and 106.40 is: 159.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.50 : 437.11 = 106.40 : x
  2. Step 2: Convert to fraction form
    291.50/437.11 = 106.40/x
  3. Step 3: Cross multiply
    291.50x = 437.11 × 106.40
  4. Step 4: Simplify right side
    291.50x = 46,505.79
  5. Step 5: Solve for x
    x = 46,505.79/291.50
  6. Step 6: Final answer
    x = 159.54

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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.