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Finding the Fourth Proportional to 314.86, 471.65 and 223.27

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Solution

The fourth proportional to 314.86, 471.65 and 223.27 is: 334.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.86 : 471.65 = 223.27 : x
  2. Step 2: Convert to fraction form
    314.86/471.65 = 223.27/x
  3. Step 3: Cross multiply
    314.86x = 471.65 × 223.27
  4. Step 4: Simplify right side
    314.86x = 105,305.30
  5. Step 5: Solve for x
    x = 105,305.30/314.86
  6. Step 6: Final answer
    x = 334.45

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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.