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Finding the Fourth Proportional to 218.53, 301.56 and 120.28

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Solution

The fourth proportional to 218.53, 301.56 and 120.28 is: 165.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.53 : 301.56 = 120.28 : x
  2. Step 2: Convert to fraction form
    218.53/301.56 = 120.28/x
  3. Step 3: Cross multiply
    218.53x = 301.56 × 120.28
  4. Step 4: Simplify right side
    218.53x = 36,271.64
  5. Step 5: Solve for x
    x = 36,271.64/218.53
  6. Step 6: Final answer
    x = 165.98

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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.