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Finding the Fourth Proportional to 198.04, 296.91 and 157.34

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Solution

The fourth proportional to 198.04, 296.91 and 157.34 is: 235.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.04 : 296.91 = 157.34 : x
  2. Step 2: Convert to fraction form
    198.04/296.91 = 157.34/x
  3. Step 3: Cross multiply
    198.04x = 296.91 × 157.34
  4. Step 4: Simplify right side
    198.04x = 46,715.82
  5. Step 5: Solve for x
    x = 46,715.82/198.04
  6. Step 6: Final answer
    x = 235.89

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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.