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Finding the Fourth Proportional to 218.07, 301.05 and 184.86

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Solution

The fourth proportional to 218.07, 301.05 and 184.86 is: 255.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.07 : 301.05 = 184.86 : x
  2. Step 2: Convert to fraction form
    218.07/301.05 = 184.86/x
  3. Step 3: Cross multiply
    218.07x = 301.05 × 184.86
  4. Step 4: Simplify right side
    218.07x = 55,652.10
  5. Step 5: Solve for x
    x = 55,652.10/218.07
  6. Step 6: Final answer
    x = 255.20

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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.