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Finding the Fourth Proportional to 356.55, 534.82 and 173.89

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Solution

The fourth proportional to 356.55, 534.82 and 173.89 is: 260.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.55 : 534.82 = 173.89 : x
  2. Step 2: Convert to fraction form
    356.55/534.82 = 173.89/x
  3. Step 3: Cross multiply
    356.55x = 534.82 × 173.89
  4. Step 4: Simplify right side
    356.55x = 92,999.85
  5. Step 5: Solve for x
    x = 92,999.85/356.55
  6. Step 6: Final answer
    x = 260.84

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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.