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Finding the Fourth Proportional to 556.17, 834.26 and 145.31

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Solution

The fourth proportional to 556.17, 834.26 and 145.31 is: 217.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.17 : 834.26 = 145.31 : x
  2. Step 2: Convert to fraction form
    556.17/834.26 = 145.31/x
  3. Step 3: Cross multiply
    556.17x = 834.26 × 145.31
  4. Step 4: Simplify right side
    556.17x = 121,221.42
  5. Step 5: Solve for x
    x = 121,221.42/556.17
  6. Step 6: Final answer
    x = 217.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.