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Finding the Fourth Proportional to 198.59, 296.53 and 157.55

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Solution

The fourth proportional to 198.59, 296.53 and 157.55 is: 235.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.59 : 296.53 = 157.55 : x
  2. Step 2: Convert to fraction form
    198.59/296.53 = 157.55/x
  3. Step 3: Cross multiply
    198.59x = 296.53 × 157.55
  4. Step 4: Simplify right side
    198.59x = 46,718.30
  5. Step 5: Solve for x
    x = 46,718.30/198.59
  6. Step 6: Final answer
    x = 235.25

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Why These Related Problems?

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