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Finding the Fourth Proportional to 291.50, 437.24 and 161.57

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Solution

The fourth proportional to 291.50, 437.24 and 161.57 is: 242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.50 : 437.24 = 161.57 : x
  2. Step 2: Convert to fraction form
    291.50/437.24 = 161.57/x
  3. Step 3: Cross multiply
    291.50x = 437.24 × 161.57
  4. Step 4: Simplify right side
    291.50x = 70,641.87
  5. Step 5: Solve for x
    x = 70,641.87/291.50
  6. Step 6: Final answer
    x = 242.34

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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.