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Finding the Fourth Proportional to 314.19, 471.64 and 184.34

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Solution

The fourth proportional to 314.19, 471.64 and 184.34 is: 276.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.19 : 471.64 = 184.34 : x
  2. Step 2: Convert to fraction form
    314.19/471.64 = 184.34/x
  3. Step 3: Cross multiply
    314.19x = 471.64 × 184.34
  4. Step 4: Simplify right side
    314.19x = 86,942.12
  5. Step 5: Solve for x
    x = 86,942.12/314.19
  6. Step 6: Final answer
    x = 276.72

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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.