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Finding the Fourth Proportional to 161.04, 240.87 and 141.06

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Solution

The fourth proportional to 161.04, 240.87 and 141.06 is: 210.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.04 : 240.87 = 141.06 : x
  2. Step 2: Convert to fraction form
    161.04/240.87 = 141.06/x
  3. Step 3: Cross multiply
    161.04x = 240.87 × 141.06
  4. Step 4: Simplify right side
    161.04x = 33,977.12
  5. Step 5: Solve for x
    x = 33,977.12/161.04
  6. Step 6: Final answer
    x = 210.99

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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.