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Finding the Fourth Proportional to 220.35, 304.10 and 131.91

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Solution

The fourth proportional to 220.35, 304.10 and 131.91 is: 182.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.35 : 304.10 = 131.91 : x
  2. Step 2: Convert to fraction form
    220.35/304.10 = 131.91/x
  3. Step 3: Cross multiply
    220.35x = 304.10 × 131.91
  4. Step 4: Simplify right side
    220.35x = 40,113.17
  5. Step 5: Solve for x
    x = 40,113.17/220.35
  6. Step 6: Final answer
    x = 182.04

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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.