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Finding the Fourth Proportional to 219.42, 302.84 and 130.86

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Solution

The fourth proportional to 219.42, 302.84 and 130.86 is: 180.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.42 : 302.84 = 130.86 : x
  2. Step 2: Convert to fraction form
    219.42/302.84 = 130.86/x
  3. Step 3: Cross multiply
    219.42x = 302.84 × 130.86
  4. Step 4: Simplify right side
    219.42x = 39,628.99
  5. Step 5: Solve for x
    x = 39,628.99/219.42
  6. Step 6: Final answer
    x = 180.61

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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.