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Finding the Fourth Proportional to 314.81, 471.84 and 192.79

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Solution

The fourth proportional to 314.81, 471.84 and 192.79 is: 288.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.81 : 471.84 = 192.79 : x
  2. Step 2: Convert to fraction form
    314.81/471.84 = 192.79/x
  3. Step 3: Cross multiply
    314.81x = 471.84 × 192.79
  4. Step 4: Simplify right side
    314.81x = 90,966.03
  5. Step 5: Solve for x
    x = 90,966.03/314.81
  6. Step 6: Final answer
    x = 288.96

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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.