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Finding the Fourth Proportional to 218.43, 301.05 and 156.06

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Solution

The fourth proportional to 218.43, 301.05 and 156.06 is: 215.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.43 : 301.05 = 156.06 : x
  2. Step 2: Convert to fraction form
    218.43/301.05 = 156.06/x
  3. Step 3: Cross multiply
    218.43x = 301.05 × 156.06
  4. Step 4: Simplify right side
    218.43x = 46,981.86
  5. Step 5: Solve for x
    x = 46,981.86/218.43
  6. Step 6: Final answer
    x = 215.09

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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.