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Finding the Fourth Proportional to 211.34, 317.03 and 89.58

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Solution

The fourth proportional to 211.34, 317.03 and 89.58 is: 134.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.34 : 317.03 = 89.58 : x
  2. Step 2: Convert to fraction form
    211.34/317.03 = 89.58/x
  3. Step 3: Cross multiply
    211.34x = 317.03 × 89.58
  4. Step 4: Simplify right side
    211.34x = 28,399.55
  5. Step 5: Solve for x
    x = 28,399.55/211.34
  6. Step 6: Final answer
    x = 134.38

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