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Finding the Fourth Proportional to 198, 295.65 and 157.50

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Solution

The fourth proportional to 198, 295.65 and 157.50 is: 235.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    198 : 295.65 = 157.50 : x
  2. Step 2: Convert to fraction form
    198/295.65 = 157.50/x
  3. Step 3: Cross multiply
    198x = 295.65 × 157.50
  4. Step 4: Simplify right side
    198x = 46,564.88
  5. Step 5: Solve for x
    x = 46,564.88/198
  6. Step 6: Final answer
    x = 235.18

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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.