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Finding the Fourth Proportional to 356.74, 535.29 and 164.50

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Solution

The fourth proportional to 356.74, 535.29 and 164.50 is: 246.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.74 : 535.29 = 164.50 : x
  2. Step 2: Convert to fraction form
    356.74/535.29 = 164.50/x
  3. Step 3: Cross multiply
    356.74x = 535.29 × 164.50
  4. Step 4: Simplify right side
    356.74x = 88,055.21
  5. Step 5: Solve for x
    x = 88,055.21/356.74
  6. Step 6: Final answer
    x = 246.83

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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.