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Finding the Fourth Proportional to 211.42, 317.13 and 89.59

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Solution

The fourth proportional to 211.42, 317.13 and 89.59 is: 134.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.42 : 317.13 = 89.59 : x
  2. Step 2: Convert to fraction form
    211.42/317.13 = 89.59/x
  3. Step 3: Cross multiply
    211.42x = 317.13 × 89.59
  4. Step 4: Simplify right side
    211.42x = 28,411.68
  5. Step 5: Solve for x
    x = 28,411.68/211.42
  6. Step 6: Final answer
    x = 134.39

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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.