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Finding the Fourth Proportional to 208.34, 310.96 and 175.22

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Solution

The fourth proportional to 208.34, 310.96 and 175.22 is: 261.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.34 : 310.96 = 175.22 : x
  2. Step 2: Convert to fraction form
    208.34/310.96 = 175.22/x
  3. Step 3: Cross multiply
    208.34x = 310.96 × 175.22
  4. Step 4: Simplify right side
    208.34x = 54,486.41
  5. Step 5: Solve for x
    x = 54,486.41/208.34
  6. Step 6: Final answer
    x = 261.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.