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Finding the Fourth Proportional to 199.34, 298.98 and 55.06

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Solution

The fourth proportional to 199.34, 298.98 and 55.06 is: 82.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.34 : 298.98 = 55.06 : x
  2. Step 2: Convert to fraction form
    199.34/298.98 = 55.06/x
  3. Step 3: Cross multiply
    199.34x = 298.98 × 55.06
  4. Step 4: Simplify right side
    199.34x = 16,461.84
  5. Step 5: Solve for x
    x = 16,461.84/199.34
  6. Step 6: Final answer
    x = 82.58

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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.