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Finding the Fourth Proportional to 356.16, 533.76 and 173.04

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Solution

The fourth proportional to 356.16, 533.76 and 173.04 is: 259.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.16 : 533.76 = 173.04 : x
  2. Step 2: Convert to fraction form
    356.16/533.76 = 173.04/x
  3. Step 3: Cross multiply
    356.16x = 533.76 × 173.04
  4. Step 4: Simplify right side
    356.16x = 92,361.83
  5. Step 5: Solve for x
    x = 92,361.83/356.16
  6. Step 6: Final answer
    x = 259.33

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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.