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Finding the Fourth Proportional to 369.99, 555.20 and 164.55

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Solution

The fourth proportional to 369.99, 555.20 and 164.55 is: 246.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.99 : 555.20 = 164.55 : x
  2. Step 2: Convert to fraction form
    369.99/555.20 = 164.55/x
  3. Step 3: Cross multiply
    369.99x = 555.20 × 164.55
  4. Step 4: Simplify right side
    369.99x = 91,358.16
  5. Step 5: Solve for x
    x = 91,358.16/369.99
  6. Step 6: Final answer
    x = 246.92

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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.