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Finding the Fourth Proportional to 198.42, 296.55 and 157.89

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Solution

The fourth proportional to 198.42, 296.55 and 157.89 is: 235.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.42 : 296.55 = 157.89 : x
  2. Step 2: Convert to fraction form
    198.42/296.55 = 157.89/x
  3. Step 3: Cross multiply
    198.42x = 296.55 × 157.89
  4. Step 4: Simplify right side
    198.42x = 46,822.28
  5. Step 5: Solve for x
    x = 46,822.28/198.42
  6. Step 6: Final answer
    x = 235.98

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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.