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Finding the Fourth Proportional to 211.60, 317.41 and 130.30

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Solution

The fourth proportional to 211.60, 317.41 and 130.30 is: 195.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.60 : 317.41 = 130.30 : x
  2. Step 2: Convert to fraction form
    211.60/317.41 = 130.30/x
  3. Step 3: Cross multiply
    211.60x = 317.41 × 130.30
  4. Step 4: Simplify right side
    211.60x = 41,358.52
  5. Step 5: Solve for x
    x = 41,358.52/211.60
  6. Step 6: Final answer
    x = 195.46

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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.