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Finding the Fourth Proportional to 211.53, 316.64 and 146.15

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Solution

The fourth proportional to 211.53, 316.64 and 146.15 is: 218.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.53 : 316.64 = 146.15 : x
  2. Step 2: Convert to fraction form
    211.53/316.64 = 146.15/x
  3. Step 3: Cross multiply
    211.53x = 316.64 × 146.15
  4. Step 4: Simplify right side
    211.53x = 46,278.69
  5. Step 5: Solve for x
    x = 46,278.69/211.53
  6. Step 6: Final answer
    x = 218.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.