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Finding the Fourth Proportional to 356.99, 535.53 and 110.14

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Solution

The fourth proportional to 356.99, 535.53 and 110.14 is: 165.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.99 : 535.53 = 110.14 : x
  2. Step 2: Convert to fraction form
    356.99/535.53 = 110.14/x
  3. Step 3: Cross multiply
    356.99x = 535.53 × 110.14
  4. Step 4: Simplify right side
    356.99x = 58,981.94
  5. Step 5: Solve for x
    x = 58,981.94/356.99
  6. Step 6: Final answer
    x = 165.22

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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.