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Finding the Fourth Proportional to 316.87, 437.20 and 192.53

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Solution

The fourth proportional to 316.87, 437.20 and 192.53 is: 265.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.87 : 437.20 = 192.53 : x
  2. Step 2: Convert to fraction form
    316.87/437.20 = 192.53/x
  3. Step 3: Cross multiply
    316.87x = 437.20 × 192.53
  4. Step 4: Simplify right side
    316.87x = 84,174.73
  5. Step 5: Solve for x
    x = 84,174.73/316.87
  6. Step 6: Final answer
    x = 265.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.