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Finding the Fourth Proportional to 356.06, 533.70 and 180.50

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Solution

The fourth proportional to 356.06, 533.70 and 180.50 is: 270.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.06 : 533.70 = 180.50 : x
  2. Step 2: Convert to fraction form
    356.06/533.70 = 180.50/x
  3. Step 3: Cross multiply
    356.06x = 533.70 × 180.50
  4. Step 4: Simplify right side
    356.06x = 96,330.18
  5. Step 5: Solve for x
    x = 96,330.18/356.06
  6. Step 6: Final answer
    x = 270.54

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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.