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Finding the Fourth Proportional to 356.26, 534.02 and 173.40

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Solution

The fourth proportional to 356.26, 534.02 and 173.40 is: 259.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.26 : 534.02 = 173.40 : x
  2. Step 2: Convert to fraction form
    356.26/534.02 = 173.40/x
  3. Step 3: Cross multiply
    356.26x = 534.02 × 173.40
  4. Step 4: Simplify right side
    356.26x = 92,599.07
  5. Step 5: Solve for x
    x = 92,599.07/356.26
  6. Step 6: Final answer
    x = 259.92

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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.