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Finding the Fourth Proportional to 291.53, 436.91 and 161.59

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Solution

The fourth proportional to 291.53, 436.91 and 161.59 is: 242.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.53 : 436.91 = 161.59 : x
  2. Step 2: Convert to fraction form
    291.53/436.91 = 161.59/x
  3. Step 3: Cross multiply
    291.53x = 436.91 × 161.59
  4. Step 4: Simplify right side
    291.53x = 70,600.20
  5. Step 5: Solve for x
    x = 70,600.20/291.53
  6. Step 6: Final answer
    x = 242.17

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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.