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Finding the Fourth Proportional to 211.76, 317.28 and 130.52

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Solution

The fourth proportional to 211.76, 317.28 and 130.52 is: 195.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.76 : 317.28 = 130.52 : x
  2. Step 2: Convert to fraction form
    211.76/317.28 = 130.52/x
  3. Step 3: Cross multiply
    211.76x = 317.28 × 130.52
  4. Step 4: Simplify right side
    211.76x = 41,411.39
  5. Step 5: Solve for x
    x = 41,411.39/211.76
  6. Step 6: Final answer
    x = 195.56

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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.