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Finding the Fourth Proportional to 161.85, 242.77 and 134.74

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Solution

The fourth proportional to 161.85, 242.77 and 134.74 is: 202.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.85 : 242.77 = 134.74 : x
  2. Step 2: Convert to fraction form
    161.85/242.77 = 134.74/x
  3. Step 3: Cross multiply
    161.85x = 242.77 × 134.74
  4. Step 4: Simplify right side
    161.85x = 32,710.75
  5. Step 5: Solve for x
    x = 32,710.75/161.85
  6. Step 6: Final answer
    x = 202.11

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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.