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Finding the Fourth Proportional to 517.39, 776.08 and 147.22

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Solution

The fourth proportional to 517.39, 776.08 and 147.22 is: 220.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.39 : 776.08 = 147.22 : x
  2. Step 2: Convert to fraction form
    517.39/776.08 = 147.22/x
  3. Step 3: Cross multiply
    517.39x = 776.08 × 147.22
  4. Step 4: Simplify right side
    517.39x = 114,252.74
  5. Step 5: Solve for x
    x = 114,252.74/517.39
  6. Step 6: Final answer
    x = 220.83

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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.