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Finding the Fourth Proportional to 314.82, 471.52 and 192.81

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Solution

The fourth proportional to 314.82, 471.52 and 192.81 is: 288.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.82 : 471.52 = 192.81 : x
  2. Step 2: Convert to fraction form
    314.82/471.52 = 192.81/x
  3. Step 3: Cross multiply
    314.82x = 471.52 × 192.81
  4. Step 4: Simplify right side
    314.82x = 90,915.78
  5. Step 5: Solve for x
    x = 90,915.78/314.82
  6. Step 6: Final answer
    x = 288.79

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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.