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Finding the Fourth Proportional to 211.04, 316.08 and 189.68

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Solution

The fourth proportional to 211.04, 316.08 and 189.68 is: 284.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.04 : 316.08 = 189.68 : x
  2. Step 2: Convert to fraction form
    211.04/316.08 = 189.68/x
  3. Step 3: Cross multiply
    211.04x = 316.08 × 189.68
  4. Step 4: Simplify right side
    211.04x = 59,954.05
  5. Step 5: Solve for x
    x = 59,954.05/211.04
  6. Step 6: Final answer
    x = 284.09

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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.