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Finding the Fourth Proportional to 369.98, 555.02 and 123.24

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Solution

The fourth proportional to 369.98, 555.02 and 123.24 is: 184.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.98 : 555.02 = 123.24 : x
  2. Step 2: Convert to fraction form
    369.98/555.02 = 123.24/x
  3. Step 3: Cross multiply
    369.98x = 555.02 × 123.24
  4. Step 4: Simplify right side
    369.98x = 68,400.66
  5. Step 5: Solve for x
    x = 68,400.66/369.98
  6. Step 6: Final answer
    x = 184.88

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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.