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Finding the Fourth Proportional to 314.24, 471.84 and 192.74

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Solution

The fourth proportional to 314.24, 471.84 and 192.74 is: 289.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.24 : 471.84 = 192.74 : x
  2. Step 2: Convert to fraction form
    314.24/471.84 = 192.74/x
  3. Step 3: Cross multiply
    314.24x = 471.84 × 192.74
  4. Step 4: Simplify right side
    314.24x = 90,942.44
  5. Step 5: Solve for x
    x = 90,942.44/314.24
  6. Step 6: Final answer
    x = 289.40

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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.