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Finding the Fourth Proportional to 146.17, 218.23 and 145.15

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Solution

The fourth proportional to 146.17, 218.23 and 145.15 is: 216.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.17 : 218.23 = 145.15 : x
  2. Step 2: Convert to fraction form
    146.17/218.23 = 145.15/x
  3. Step 3: Cross multiply
    146.17x = 218.23 × 145.15
  4. Step 4: Simplify right side
    146.17x = 31,676.08
  5. Step 5: Solve for x
    x = 31,676.08/146.17
  6. Step 6: Final answer
    x = 216.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.