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Finding the Fourth Proportional to 199.34, 297.75 and 158.64

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Solution

The fourth proportional to 199.34, 297.75 and 158.64 is: 236.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.34 : 297.75 = 158.64 : x
  2. Step 2: Convert to fraction form
    199.34/297.75 = 158.64/x
  3. Step 3: Cross multiply
    199.34x = 297.75 × 158.64
  4. Step 4: Simplify right side
    199.34x = 47,235.06
  5. Step 5: Solve for x
    x = 47,235.06/199.34
  6. Step 6: Final answer
    x = 236.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.