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Finding the Fourth Proportional to 199.42, 299.13 and 188.08

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Solution

The fourth proportional to 199.42, 299.13 and 188.08 is: 282.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.42 : 299.13 = 188.08 : x
  2. Step 2: Convert to fraction form
    199.42/299.13 = 188.08/x
  3. Step 3: Cross multiply
    199.42x = 299.13 × 188.08
  4. Step 4: Simplify right side
    199.42x = 56,260.37
  5. Step 5: Solve for x
    x = 56,260.37/199.42
  6. Step 6: Final answer
    x = 282.12

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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.