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Finding the Fourth Proportional to 185.76, 256.14 and 161.10

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Solution

The fourth proportional to 185.76, 256.14 and 161.10 is: 222.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.76 : 256.14 = 161.10 : x
  2. Step 2: Convert to fraction form
    185.76/256.14 = 161.10/x
  3. Step 3: Cross multiply
    185.76x = 256.14 × 161.10
  4. Step 4: Simplify right side
    185.76x = 41,264.15
  5. Step 5: Solve for x
    x = 41,264.15/185.76
  6. Step 6: Final answer
    x = 222.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.