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Finding the Fourth Proportional to 211.59, 317.02 and 134.69

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Solution

The fourth proportional to 211.59, 317.02 and 134.69 is: 201.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.59 : 317.02 = 134.69 : x
  2. Step 2: Convert to fraction form
    211.59/317.02 = 134.69/x
  3. Step 3: Cross multiply
    211.59x = 317.02 × 134.69
  4. Step 4: Simplify right side
    211.59x = 42,699.42
  5. Step 5: Solve for x
    x = 42,699.42/211.59
  6. Step 6: Final answer
    x = 201.81

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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.