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Finding the Fourth Proportional to 211.30, 316.93 and 130.63

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Solution

The fourth proportional to 211.30, 316.93 and 130.63 is: 195.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.30 : 316.93 = 130.63 : x
  2. Step 2: Convert to fraction form
    211.30/316.93 = 130.63/x
  3. Step 3: Cross multiply
    211.30x = 316.93 × 130.63
  4. Step 4: Simplify right side
    211.30x = 41,400.57
  5. Step 5: Solve for x
    x = 41,400.57/211.30
  6. Step 6: Final answer
    x = 195.93

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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.