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Finding the Fourth Proportional to 356.87, 535.34 and 110.09

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Solution

The fourth proportional to 356.87, 535.34 and 110.09 is: 165.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.87 : 535.34 = 110.09 : x
  2. Step 2: Convert to fraction form
    356.87/535.34 = 110.09/x
  3. Step 3: Cross multiply
    356.87x = 535.34 × 110.09
  4. Step 4: Simplify right side
    356.87x = 58,937.19
  5. Step 5: Solve for x
    x = 58,937.19/356.87
  6. Step 6: Final answer
    x = 165.15

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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.